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Finding the Third Proportional to 357,016 and 772,808

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Solution

The third proportional to 357,016 and 772,808 is: 1,672,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,016 : 772,808 = 772,808 : x
  2. Step 2: Convert to fraction form
    357,016/772,808 = 772,808/x
  3. Step 3: Cross multiply
    357,016x = 772,808 × 772,808
  4. Step 4: Simplify right side
    357,016x = 597,232,204,864
  5. Step 5: Solve for x
    x = 597,232,204,864/357,016
  6. Step 6: Final answer
    x = 1,672,844.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.