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Finding the Third Proportional to 492,192 and 752,688

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Solution

The third proportional to 492,192 and 752,688 is: 1,151,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,192 : 752,688 = 752,688 : x
  2. Step 2: Convert to fraction form
    492,192/752,688 = 752,688/x
  3. Step 3: Cross multiply
    492,192x = 752,688 × 752,688
  4. Step 4: Simplify right side
    492,192x = 566,539,225,344
  5. Step 5: Solve for x
    x = 566,539,225,344/492,192
  6. Step 6: Final answer
    x = 1,151,053.30

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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.