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Finding the Third Proportional to 353,103 and 540,251.50

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Solution

The third proportional to 353,103 and 540,251.50 is: 826,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,103 : 540,251.50 = 540,251.50 : x
  2. Step 2: Convert to fraction form
    353,103/540,251.50 = 540,251.50/x
  3. Step 3: Cross multiply
    353,103x = 540,251.50 × 540,251.50
  4. Step 4: Simplify right side
    353,103x = 291,871,683,252.25
  5. Step 5: Solve for x
    x = 291,871,683,252.25/353,103
  6. Step 6: Final answer
    x = 826,590.78

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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.