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Finding the Third Proportional to 360,521 and 565,527

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Solution

The third proportional to 360,521 and 565,527 is: 887,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,521 : 565,527 = 565,527 : x
  2. Step 2: Convert to fraction form
    360,521/565,527 = 565,527/x
  3. Step 3: Cross multiply
    360,521x = 565,527 × 565,527
  4. Step 4: Simplify right side
    360,521x = 319,820,787,729
  5. Step 5: Solve for x
    x = 319,820,787,729/360,521
  6. Step 6: Final answer
    x = 887,107.24

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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.