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Finding the Third Proportional to 583,064 and 876,396

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Solution

The third proportional to 583,064 and 876,396 is: 1,317,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,064 : 876,396 = 876,396 : x
  2. Step 2: Convert to fraction form
    583,064/876,396 = 876,396/x
  3. Step 3: Cross multiply
    583,064x = 876,396 × 876,396
  4. Step 4: Simplify right side
    583,064x = 768,069,948,816
  5. Step 5: Solve for x
    x = 768,069,948,816/583,064
  6. Step 6: Final answer
    x = 1,317,299.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.