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Finding the Third Proportional to 516,088.13 and 555,454.13

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Solution

The third proportional to 516,088.13 and 555,454.13 is: 597,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,088.13 : 555,454.13 = 555,454.13 : x
  2. Step 2: Convert to fraction form
    516,088.13/555,454.13 = 555,454.13/x
  3. Step 3: Cross multiply
    516,088.13x = 555,454.13 × 555,454.13
  4. Step 4: Simplify right side
    516,088.13x = 308,529,284,979.52
  5. Step 5: Solve for x
    x = 308,529,284,979.52/516,088.13
  6. Step 6: Final answer
    x = 597,822.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.