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Finding the Third Proportional to 349,708.50 and 762,651

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Solution

The third proportional to 349,708.50 and 762,651 is: 1,663,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,708.50 : 762,651 = 762,651 : x
  2. Step 2: Convert to fraction form
    349,708.50/762,651 = 762,651/x
  3. Step 3: Cross multiply
    349,708.50x = 762,651 × 762,651
  4. Step 4: Simplify right side
    349,708.50x = 581,636,547,801
  5. Step 5: Solve for x
    x = 581,636,547,801/349,708.50
  6. Step 6: Final answer
    x = 1,663,203.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.