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Finding the Third Proportional to 261,605 and 565,024

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Solution

The third proportional to 261,605 and 565,024 is: 1,220,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,605 : 565,024 = 565,024 : x
  2. Step 2: Convert to fraction form
    261,605/565,024 = 565,024/x
  3. Step 3: Cross multiply
    261,605x = 565,024 × 565,024
  4. Step 4: Simplify right side
    261,605x = 319,252,120,576
  5. Step 5: Solve for x
    x = 319,252,120,576/261,605
  6. Step 6: Final answer
    x = 1,220,359.40

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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.