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Finding the Third Proportional to 584,794.50 and 881,512.50

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Solution

The third proportional to 584,794.50 and 881,512.50 is: 1,328,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,794.50 : 881,512.50 = 881,512.50 : x
  2. Step 2: Convert to fraction form
    584,794.50/881,512.50 = 881,512.50/x
  3. Step 3: Cross multiply
    584,794.50x = 881,512.50 × 881,512.50
  4. Step 4: Simplify right side
    584,794.50x = 777,064,287,656.25
  5. Step 5: Solve for x
    x = 777,064,287,656.25/584,794.50
  6. Step 6: Final answer
    x = 1,328,781.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.