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Finding the Third Proportional to 584,064 and 834,624

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Solution

The third proportional to 584,064 and 834,624 is: 1,192,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,064 : 834,624 = 834,624 : x
  2. Step 2: Convert to fraction form
    584,064/834,624 = 834,624/x
  3. Step 3: Cross multiply
    584,064x = 834,624 × 834,624
  4. Step 4: Simplify right side
    584,064x = 696,597,221,376
  5. Step 5: Solve for x
    x = 696,597,221,376/584,064
  6. Step 6: Final answer
    x = 1,192,672.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.