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Finding the Third Proportional to 360,358 and 565,287

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Solution

The third proportional to 360,358 and 565,287 is: 886,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,358 : 565,287 = 565,287 : x
  2. Step 2: Convert to fraction form
    360,358/565,287 = 565,287/x
  3. Step 3: Cross multiply
    360,358x = 565,287 × 565,287
  4. Step 4: Simplify right side
    360,358x = 319,549,392,369
  5. Step 5: Solve for x
    x = 319,549,392,369/360,358
  6. Step 6: Final answer
    x = 886,755.37

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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.