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Finding the Third Proportional to 261,148 and 571,499

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Solution

The third proportional to 261,148 and 571,499 is: 1,250,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,148 : 571,499 = 571,499 : x
  2. Step 2: Convert to fraction form
    261,148/571,499 = 571,499/x
  3. Step 3: Cross multiply
    261,148x = 571,499 × 571,499
  4. Step 4: Simplify right side
    261,148x = 326,611,107,001
  5. Step 5: Solve for x
    x = 326,611,107,001/261,148
  6. Step 6: Final answer
    x = 1,250,674.36

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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.