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Finding the Third Proportional to 261,210 and 565,893

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Solution

The third proportional to 261,210 and 565,893 is: 1,225,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,210 : 565,893 = 565,893 : x
  2. Step 2: Convert to fraction form
    261,210/565,893 = 565,893/x
  3. Step 3: Cross multiply
    261,210x = 565,893 × 565,893
  4. Step 4: Simplify right side
    261,210x = 320,234,887,449
  5. Step 5: Solve for x
    x = 320,234,887,449/261,210
  6. Step 6: Final answer
    x = 1,225,967.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.