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Finding the Third Proportional to 392,828.25 and 600,656.63

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Solution

The third proportional to 392,828.25 and 600,656.63 is: 918,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,828.25 : 600,656.63 = 600,656.63 : x
  2. Step 2: Convert to fraction form
    392,828.25/600,656.63 = 600,656.63/x
  3. Step 3: Cross multiply
    392,828.25x = 600,656.63 × 600,656.63
  4. Step 4: Simplify right side
    392,828.25x = 360,788,381,156.39
  5. Step 5: Solve for x
    x = 360,788,381,156.39/392,828.25
  6. Step 6: Final answer
    x = 918,437.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.