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Finding the Third Proportional to 584,338.50 and 780,279.75

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Solution

The third proportional to 584,338.50 and 780,279.75 is: 1,041,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,338.50 : 780,279.75 = 780,279.75 : x
  2. Step 2: Convert to fraction form
    584,338.50/780,279.75 = 780,279.75/x
  3. Step 3: Cross multiply
    584,338.50x = 780,279.75 × 780,279.75
  4. Step 4: Simplify right side
    584,338.50x = 608,836,488,260.06
  5. Step 5: Solve for x
    x = 608,836,488,260.06/584,338.50
  6. Step 6: Final answer
    x = 1,041,924.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.