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Finding the Third Proportional to 474,850 and 739,507

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Solution

The third proportional to 474,850 and 739,507 is: 1,151,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,850 : 739,507 = 739,507 : x
  2. Step 2: Convert to fraction form
    474,850/739,507 = 739,507/x
  3. Step 3: Cross multiply
    474,850x = 739,507 × 739,507
  4. Step 4: Simplify right side
    474,850x = 546,870,603,049
  5. Step 5: Solve for x
    x = 546,870,603,049/474,850
  6. Step 6: Final answer
    x = 1,151,670.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.