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Finding the Third Proportional to 372,808.69 and 583,201.69

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Solution

The third proportional to 372,808.69 and 583,201.69 is: 912,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,808.69 : 583,201.69 = 583,201.69 : x
  2. Step 2: Convert to fraction form
    372,808.69/583,201.69 = 583,201.69/x
  3. Step 3: Cross multiply
    372,808.69x = 583,201.69 × 583,201.69
  4. Step 4: Simplify right side
    372,808.69x = 340,124,208,302.85
  5. Step 5: Solve for x
    x = 340,124,208,302.85/372,808.69
  6. Step 6: Final answer
    x = 912,329.08

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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.