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Finding the Third Proportional to 584,932.50 and 1,275,633

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Solution

The third proportional to 584,932.50 and 1,275,633 is: 2,781,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,932.50 : 1,275,633 = 1,275,633 : x
  2. Step 2: Convert to fraction form
    584,932.50/1,275,633 = 1,275,633/x
  3. Step 3: Cross multiply
    584,932.50x = 1,275,633 × 1,275,633
  4. Step 4: Simplify right side
    584,932.50x = 1,627,239,550,689
  5. Step 5: Solve for x
    x = 1,627,239,550,689/584,932.50
  6. Step 6: Final answer
    x = 2,781,927.06

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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.