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Finding the Third Proportional to 346,461 and 740,802

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Solution

The third proportional to 346,461 and 740,802 is: 1,583,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,461 : 740,802 = 740,802 : x
  2. Step 2: Convert to fraction form
    346,461/740,802 = 740,802/x
  3. Step 3: Cross multiply
    346,461x = 740,802 × 740,802
  4. Step 4: Simplify right side
    346,461x = 548,787,603,204
  5. Step 5: Solve for x
    x = 548,787,603,204/346,461
  6. Step 6: Final answer
    x = 1,583,980.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.