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Finding the Third Proportional to 499,732 and 748,777

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Solution

The third proportional to 499,732 and 748,777 is: 1,121,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,732 : 748,777 = 748,777 : x
  2. Step 2: Convert to fraction form
    499,732/748,777 = 748,777/x
  3. Step 3: Cross multiply
    499,732x = 748,777 × 748,777
  4. Step 4: Simplify right side
    499,732x = 560,666,995,729
  5. Step 5: Solve for x
    x = 560,666,995,729/499,732
  6. Step 6: Final answer
    x = 1,121,935.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.