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Finding the Third Proportional to 261,498.38 and 572,743.41

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Solution

The third proportional to 261,498.38 and 572,743.41 is: 1,254,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,498.38 : 572,743.41 = 572,743.41 : x
  2. Step 2: Convert to fraction form
    261,498.38/572,743.41 = 572,743.41/x
  3. Step 3: Cross multiply
    261,498.38x = 572,743.41 × 572,743.41
  4. Step 4: Simplify right side
    261,498.38x = 328,035,009,402.85
  5. Step 5: Solve for x
    x = 328,035,009,402.85/261,498.38
  6. Step 6: Final answer
    x = 1,254,443.78

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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.