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Finding the Third Proportional to 491,711.50 and 742,090

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Solution

The third proportional to 491,711.50 and 742,090 is: 1,119,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,711.50 : 742,090 = 742,090 : x
  2. Step 2: Convert to fraction form
    491,711.50/742,090 = 742,090/x
  3. Step 3: Cross multiply
    491,711.50x = 742,090 × 742,090
  4. Step 4: Simplify right side
    491,711.50x = 550,697,568,100
  5. Step 5: Solve for x
    x = 550,697,568,100/491,711.50
  6. Step 6: Final answer
    x = 1,119,960.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.