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Finding the Third Proportional to 372,767 and 583,139

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Solution

The third proportional to 372,767 and 583,139 is: 912,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,767 : 583,139 = 583,139 : x
  2. Step 2: Convert to fraction form
    372,767/583,139 = 583,139/x
  3. Step 3: Cross multiply
    372,767x = 583,139 × 583,139
  4. Step 4: Simplify right side
    372,767x = 340,051,093,321
  5. Step 5: Solve for x
    x = 340,051,093,321/372,767
  6. Step 6: Final answer
    x = 912,234.97

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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.