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Finding the Third Proportional to 261,319 and 572,461

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Solution

The third proportional to 261,319 and 572,461 is: 1,254,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,319 : 572,461 = 572,461 : x
  2. Step 2: Convert to fraction form
    261,319/572,461 = 572,461/x
  3. Step 3: Cross multiply
    261,319x = 572,461 × 572,461
  4. Step 4: Simplify right side
    261,319x = 327,711,596,521
  5. Step 5: Solve for x
    x = 327,711,596,521/261,319
  6. Step 6: Final answer
    x = 1,254,067.24

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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.