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Finding the Third Proportional to 253,240.59 and 597,784.22

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Solution

The third proportional to 253,240.59 and 597,784.22 is: 1,411,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,240.59 : 597,784.22 = 597,784.22 : x
  2. Step 2: Convert to fraction form
    253,240.59/597,784.22 = 597,784.22/x
  3. Step 3: Cross multiply
    253,240.59x = 597,784.22 × 597,784.22
  4. Step 4: Simplify right side
    253,240.59x = 357,345,972,186.55
  5. Step 5: Solve for x
    x = 357,345,972,186.55/253,240.59
  6. Step 6: Final answer
    x = 1,411,092.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.