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Finding the Third Proportional to 334,890 and 503,088.75

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Solution

The third proportional to 334,890 and 503,088.75 is: 755,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,890 : 503,088.75 = 503,088.75 : x
  2. Step 2: Convert to fraction form
    334,890/503,088.75 = 503,088.75/x
  3. Step 3: Cross multiply
    334,890x = 503,088.75 × 503,088.75
  4. Step 4: Simplify right side
    334,890x = 253,098,290,376.56
  5. Step 5: Solve for x
    x = 253,098,290,376.56/334,890
  6. Step 6: Final answer
    x = 755,765.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.