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Finding the Third Proportional to 275,502.59 and 425,536.47

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Solution

The third proportional to 275,502.59 and 425,536.47 is: 657,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,502.59 : 425,536.47 = 425,536.47 : x
  2. Step 2: Convert to fraction form
    275,502.59/425,536.47 = 425,536.47/x
  3. Step 3: Cross multiply
    275,502.59x = 425,536.47 × 425,536.47
  4. Step 4: Simplify right side
    275,502.59x = 181,081,284,158.41
  5. Step 5: Solve for x
    x = 181,081,284,158.41/275,502.59
  6. Step 6: Final answer
    x = 657,276.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.