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Finding the Third Proportional to 533,580 and 813,924

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Solution

The third proportional to 533,580 and 813,924 is: 1,241,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,580 : 813,924 = 813,924 : x
  2. Step 2: Convert to fraction form
    533,580/813,924 = 813,924/x
  3. Step 3: Cross multiply
    533,580x = 813,924 × 813,924
  4. Step 4: Simplify right side
    533,580x = 662,472,277,776
  5. Step 5: Solve for x
    x = 662,472,277,776/533,580
  6. Step 6: Final answer
    x = 1,241,561.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.