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Finding the Third Proportional to 261,177.06 and 565,827.87

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Solution

The third proportional to 261,177.06 and 565,827.87 is: 1,225,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,177.06 : 565,827.87 = 565,827.87 : x
  2. Step 2: Convert to fraction form
    261,177.06/565,827.87 = 565,827.87/x
  3. Step 3: Cross multiply
    261,177.06x = 565,827.87 × 565,827.87
  4. Step 4: Simplify right side
    261,177.06x = 320,161,181,916.78
  5. Step 5: Solve for x
    x = 320,161,181,916.78/261,177.06
  6. Step 6: Final answer
    x = 1,225,839.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.