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Finding the Third Proportional to 261,625.50 and 565,065

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Solution

The third proportional to 261,625.50 and 565,065 is: 1,220,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,625.50 : 565,065 = 565,065 : x
  2. Step 2: Convert to fraction form
    261,625.50/565,065 = 565,065/x
  3. Step 3: Cross multiply
    261,625.50x = 565,065 × 565,065
  4. Step 4: Simplify right side
    261,625.50x = 319,298,454,225
  5. Step 5: Solve for x
    x = 319,298,454,225/261,625.50
  6. Step 6: Final answer
    x = 1,220,440.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.