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Finding the Third Proportional to 349,785 and 724,447.13

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Solution

The third proportional to 349,785 and 724,447.13 is: 1,500,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,785 : 724,447.13 = 724,447.13 : x
  2. Step 2: Convert to fraction form
    349,785/724,447.13 = 724,447.13/x
  3. Step 3: Cross multiply
    349,785x = 724,447.13 × 724,447.13
  4. Step 4: Simplify right side
    349,785x = 524,823,636,920.77
  5. Step 5: Solve for x
    x = 524,823,636,920.77/349,785
  6. Step 6: Final answer
    x = 1,500,417.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.