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Finding the Third Proportional to 372,846 and 583,260

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Solution

The third proportional to 372,846 and 583,260 is: 912,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,846 : 583,260 = 583,260 : x
  2. Step 2: Convert to fraction form
    372,846/583,260 = 583,260/x
  3. Step 3: Cross multiply
    372,846x = 583,260 × 583,260
  4. Step 4: Simplify right side
    372,846x = 340,192,227,600
  5. Step 5: Solve for x
    x = 340,192,227,600/372,846
  6. Step 6: Final answer
    x = 912,420.22

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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.