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Finding the Third Proportional to 360,600 and 565,656

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Solution

The third proportional to 360,600 and 565,656 is: 887,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,600 : 565,656 = 565,656 : x
  2. Step 2: Convert to fraction form
    360,600/565,656 = 565,656/x
  3. Step 3: Cross multiply
    360,600x = 565,656 × 565,656
  4. Step 4: Simplify right side
    360,600x = 319,966,710,336
  5. Step 5: Solve for x
    x = 319,966,710,336/360,600
  6. Step 6: Final answer
    x = 887,317.56

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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.