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Finding the Third Proportional to 261,321 and 572,464

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Solution

The third proportional to 261,321 and 572,464 is: 1,254,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,321 : 572,464 = 572,464 : x
  2. Step 2: Convert to fraction form
    261,321/572,464 = 572,464/x
  3. Step 3: Cross multiply
    261,321x = 572,464 × 572,464
  4. Step 4: Simplify right side
    261,321x = 327,715,031,296
  5. Step 5: Solve for x
    x = 327,715,031,296/261,321
  6. Step 6: Final answer
    x = 1,254,070.78

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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.