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Finding the Third Proportional to 351,008,732.25 and 760,586,296.50

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Solution

The third proportional to 351,008,732.25 and 760,586,296.50 is: 1,648,082,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,008,732.25 : 760,586,296.50 = 760,586,296.50 : x
  2. Step 2: Convert to fraction form
    351,008,732.25/760,586,296.50 = 760,586,296.50/x
  3. Step 3: Cross multiply
    351,008,732.25x = 760,586,296.50 × 760,586,296.50
  4. Step 4: Simplify right side
    351,008,732.25x = 578,491,514,423,585,920
  5. Step 5: Solve for x
    x = 578,491,514,423,585,920/351,008,732.25
  6. Step 6: Final answer
    x = 1,648,082,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.