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Finding the Third Proportional to 584,793 and 930,420

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Solution

The third proportional to 584,793 and 930,420 is: 1,480,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,793 : 930,420 = 930,420 : x
  2. Step 2: Convert to fraction form
    584,793/930,420 = 930,420/x
  3. Step 3: Cross multiply
    584,793x = 930,420 × 930,420
  4. Step 4: Simplify right side
    584,793x = 865,681,376,400
  5. Step 5: Solve for x
    x = 865,681,376,400/584,793
  6. Step 6: Final answer
    x = 1,480,321.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.