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Finding the Third Proportional to 555,471.50 and 829,567.25

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Solution

The third proportional to 555,471.50 and 829,567.25 is: 1,238,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,471.50 : 829,567.25 = 829,567.25 : x
  2. Step 2: Convert to fraction form
    555,471.50/829,567.25 = 829,567.25/x
  3. Step 3: Cross multiply
    555,471.50x = 829,567.25 × 829,567.25
  4. Step 4: Simplify right side
    555,471.50x = 688,181,822,272.56
  5. Step 5: Solve for x
    x = 688,181,822,272.56/555,471.50
  6. Step 6: Final answer
    x = 1,238,914.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.