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Finding the Third Proportional to 584,287 and 897,536

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Solution

The third proportional to 584,287 and 897,536 is: 1,378,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,287 : 897,536 = 897,536 : x
  2. Step 2: Convert to fraction form
    584,287/897,536 = 897,536/x
  3. Step 3: Cross multiply
    584,287x = 897,536 × 897,536
  4. Step 4: Simplify right side
    584,287x = 805,570,871,296
  5. Step 5: Solve for x
    x = 805,570,871,296/584,287
  6. Step 6: Final answer
    x = 1,378,724.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.