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Finding the Third Proportional to 261,270.56 and 572,340.94

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Solution

The third proportional to 261,270.56 and 572,340.94 is: 1,253,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,270.56 : 572,340.94 = 572,340.94 : x
  2. Step 2: Convert to fraction form
    261,270.56/572,340.94 = 572,340.94/x
  3. Step 3: Cross multiply
    261,270.56x = 572,340.94 × 572,340.94
  4. Step 4: Simplify right side
    261,270.56x = 327,574,148,738.38
  5. Step 5: Solve for x
    x = 327,574,148,738.38/261,270.56
  6. Step 6: Final answer
    x = 1,253,773.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.