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Finding the Third Proportional to 600,240 and 915,374

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Solution

The third proportional to 600,240 and 915,374 is: 1,395,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,240 : 915,374 = 915,374 : x
  2. Step 2: Convert to fraction form
    600,240/915,374 = 915,374/x
  3. Step 3: Cross multiply
    600,240x = 915,374 × 915,374
  4. Step 4: Simplify right side
    600,240x = 837,909,559,876
  5. Step 5: Solve for x
    x = 837,909,559,876/600,240
  6. Step 6: Final answer
    x = 1,395,957.55

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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.