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Finding the Third Proportional to 485,532 and 735,045

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Solution

The third proportional to 485,532 and 735,045 is: 1,112,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,532 : 735,045 = 735,045 : x
  2. Step 2: Convert to fraction form
    485,532/735,045 = 735,045/x
  3. Step 3: Cross multiply
    485,532x = 735,045 × 735,045
  4. Step 4: Simplify right side
    485,532x = 540,291,152,025
  5. Step 5: Solve for x
    x = 540,291,152,025/485,532
  6. Step 6: Final answer
    x = 1,112,781.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.