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Finding the Third Proportional to 584,779.50 and 1,275,324.75

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Solution

The third proportional to 584,779.50 and 1,275,324.75 is: 2,781,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,779.50 : 1,275,324.75 = 1,275,324.75 : x
  2. Step 2: Convert to fraction form
    584,779.50/1,275,324.75 = 1,275,324.75/x
  3. Step 3: Cross multiply
    584,779.50x = 1,275,324.75 × 1,275,324.75
  4. Step 4: Simplify right side
    584,779.50x = 1,626,453,217,962.56
  5. Step 5: Solve for x
    x = 1,626,453,217,962.56/584,779.50
  6. Step 6: Final answer
    x = 2,781,310.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.