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Finding the Third Proportional to 261,914 and 565,597

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Solution

The third proportional to 261,914 and 565,597 is: 1,221,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,914 : 565,597 = 565,597 : x
  2. Step 2: Convert to fraction form
    261,914/565,597 = 565,597/x
  3. Step 3: Cross multiply
    261,914x = 565,597 × 565,597
  4. Step 4: Simplify right side
    261,914x = 319,899,966,409
  5. Step 5: Solve for x
    x = 319,899,966,409/261,914
  6. Step 6: Final answer
    x = 1,221,393.15

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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.