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Finding the Third Proportional to 376,464 and 565,536

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Solution

The third proportional to 376,464 and 565,536 is: 849,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,464 : 565,536 = 565,536 : x
  2. Step 2: Convert to fraction form
    376,464/565,536 = 565,536/x
  3. Step 3: Cross multiply
    376,464x = 565,536 × 565,536
  4. Step 4: Simplify right side
    376,464x = 319,830,967,296
  5. Step 5: Solve for x
    x = 319,830,967,296/376,464
  6. Step 6: Final answer
    x = 849,565.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.