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Finding the Third Proportional to 489,352 and 748,655

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Solution

The third proportional to 489,352 and 748,655 is: 1,145,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,352 : 748,655 = 748,655 : x
  2. Step 2: Convert to fraction form
    489,352/748,655 = 748,655/x
  3. Step 3: Cross multiply
    489,352x = 748,655 × 748,655
  4. Step 4: Simplify right side
    489,352x = 560,484,309,025
  5. Step 5: Solve for x
    x = 560,484,309,025/489,352
  6. Step 6: Final answer
    x = 1,145,360.21

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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.