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Finding the Third Proportional to 343,428 and 752,464

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Solution

The third proportional to 343,428 and 752,464 is: 1,648,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,428 : 752,464 = 752,464 : x
  2. Step 2: Convert to fraction form
    343,428/752,464 = 752,464/x
  3. Step 3: Cross multiply
    343,428x = 752,464 × 752,464
  4. Step 4: Simplify right side
    343,428x = 566,202,071,296
  5. Step 5: Solve for x
    x = 566,202,071,296/343,428
  6. Step 6: Final answer
    x = 1,648,677.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.