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Finding the Third Proportional to 361,975.50 and 542,264.06

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Solution

The third proportional to 361,975.50 and 542,264.06 is: 812,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,975.50 : 542,264.06 = 542,264.06 : x
  2. Step 2: Convert to fraction form
    361,975.50/542,264.06 = 542,264.06/x
  3. Step 3: Cross multiply
    361,975.50x = 542,264.06 × 542,264.06
  4. Step 4: Simplify right side
    361,975.50x = 294,050,313,479.00
  5. Step 5: Solve for x
    x = 294,050,313,479.00/361,975.50
  6. Step 6: Final answer
    x = 812,348.66

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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.