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Finding the Third Proportional to 261,416 and 572,674

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Solution

The third proportional to 261,416 and 572,674 is: 1,254,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,416 : 572,674 = 572,674 : x
  2. Step 2: Convert to fraction form
    261,416/572,674 = 572,674/x
  3. Step 3: Cross multiply
    261,416x = 572,674 × 572,674
  4. Step 4: Simplify right side
    261,416x = 327,955,510,276
  5. Step 5: Solve for x
    x = 327,955,510,276/261,416
  6. Step 6: Final answer
    x = 1,254,534.96

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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.