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Finding the Third Proportional to 474,106 and 720,374

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Solution

The third proportional to 474,106 and 720,374 is: 1,094,562.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,106 : 720,374 = 720,374 : x
  2. Step 2: Convert to fraction form
    474,106/720,374 = 720,374/x
  3. Step 3: Cross multiply
    474,106x = 720,374 × 720,374
  4. Step 4: Simplify right side
    474,106x = 518,938,699,876
  5. Step 5: Solve for x
    x = 518,938,699,876/474,106
  6. Step 6: Final answer
    x = 1,094,562.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.