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Finding the Third Proportional to 229,444.88 and 539,983.13

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Solution

The third proportional to 229,444.88 and 539,983.13 is: 1,270,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,444.88 : 539,983.13 = 539,983.13 : x
  2. Step 2: Convert to fraction form
    229,444.88/539,983.13 = 539,983.13/x
  3. Step 3: Cross multiply
    229,444.88x = 539,983.13 × 539,983.13
  4. Step 4: Simplify right side
    229,444.88x = 291,581,775,284.77
  5. Step 5: Solve for x
    x = 291,581,775,284.77/229,444.88
  6. Step 6: Final answer
    x = 1,270,814.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.