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Finding the Third Proportional to 360,533 and 565,549

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Solution

The third proportional to 360,533 and 565,549 is: 887,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,533 : 565,549 = 565,549 : x
  2. Step 2: Convert to fraction form
    360,533/565,549 = 565,549/x
  3. Step 3: Cross multiply
    360,533x = 565,549 × 565,549
  4. Step 4: Simplify right side
    360,533x = 319,845,671,401
  5. Step 5: Solve for x
    x = 319,845,671,401/360,533
  6. Step 6: Final answer
    x = 887,146.73

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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.