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Finding the Third Proportional to 360,348 and 565,272

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Solution

The third proportional to 360,348 and 565,272 is: 886,732.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,348 : 565,272 = 565,272 : x
  2. Step 2: Convert to fraction form
    360,348/565,272 = 565,272/x
  3. Step 3: Cross multiply
    360,348x = 565,272 × 565,272
  4. Step 4: Simplify right side
    360,348x = 319,532,433,984
  5. Step 5: Solve for x
    x = 319,532,433,984/360,348
  6. Step 6: Final answer
    x = 886,732.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.