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Finding the Third Proportional to 372,849.75 and 583,267.50

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Solution

The third proportional to 372,849.75 and 583,267.50 is: 912,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,849.75 : 583,267.50 = 583,267.50 : x
  2. Step 2: Convert to fraction form
    372,849.75/583,267.50 = 583,267.50/x
  3. Step 3: Cross multiply
    372,849.75x = 583,267.50 × 583,267.50
  4. Step 4: Simplify right side
    372,849.75x = 340,200,976,556.25
  5. Step 5: Solve for x
    x = 340,200,976,556.25/372,849.75
  6. Step 6: Final answer
    x = 912,434.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.