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Finding the Third Proportional to 489,776 and 748,716

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Solution

The third proportional to 489,776 and 748,716 is: 1,144,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,776 : 748,716 = 748,716 : x
  2. Step 2: Convert to fraction form
    489,776/748,716 = 748,716/x
  3. Step 3: Cross multiply
    489,776x = 748,716 × 748,716
  4. Step 4: Simplify right side
    489,776x = 560,575,648,656
  5. Step 5: Solve for x
    x = 560,575,648,656/489,776
  6. Step 6: Final answer
    x = 1,144,555.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.