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Finding the Third Proportional to 551,098.50 and 843,009.75

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Solution

The third proportional to 551,098.50 and 843,009.75 is: 1,289,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,098.50 : 843,009.75 = 843,009.75 : x
  2. Step 2: Convert to fraction form
    551,098.50/843,009.75 = 843,009.75/x
  3. Step 3: Cross multiply
    551,098.50x = 843,009.75 × 843,009.75
  4. Step 4: Simplify right side
    551,098.50x = 710,665,438,595.06
  5. Step 5: Solve for x
    x = 710,665,438,595.06/551,098.50
  6. Step 6: Final answer
    x = 1,289,543.41

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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.