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Finding the Third Proportional to 261,392 and 572,592

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Solution

The third proportional to 261,392 and 572,592 is: 1,254,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,392 : 572,592 = 572,592 : x
  2. Step 2: Convert to fraction form
    261,392/572,592 = 572,592/x
  3. Step 3: Cross multiply
    261,392x = 572,592 × 572,592
  4. Step 4: Simplify right side
    261,392x = 327,861,598,464
  5. Step 5: Solve for x
    x = 327,861,598,464/261,392
  6. Step 6: Final answer
    x = 1,254,290.87

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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.