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Finding the Third Proportional to 532,360 and 1,142,608

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Solution

The third proportional to 532,360 and 1,142,608 is: 2,452,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,360 : 1,142,608 = 1,142,608 : x
  2. Step 2: Convert to fraction form
    532,360/1,142,608 = 1,142,608/x
  3. Step 3: Cross multiply
    532,360x = 1,142,608 × 1,142,608
  4. Step 4: Simplify right side
    532,360x = 1,305,553,041,664
  5. Step 5: Solve for x
    x = 1,305,553,041,664/532,360
  6. Step 6: Final answer
    x = 2,452,387.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.