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Finding the Third Proportional to 365,548.50 and 801,711

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Solution

The third proportional to 365,548.50 and 801,711 is: 1,758,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,548.50 : 801,711 = 801,711 : x
  2. Step 2: Convert to fraction form
    365,548.50/801,711 = 801,711/x
  3. Step 3: Cross multiply
    365,548.50x = 801,711 × 801,711
  4. Step 4: Simplify right side
    365,548.50x = 642,740,527,521
  5. Step 5: Solve for x
    x = 642,740,527,521/365,548.50
  6. Step 6: Final answer
    x = 1,758,290.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.