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Finding the Third Proportional to 742,405.50 and 1,157,976

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Solution

The third proportional to 742,405.50 and 1,157,976 is: 1,806,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,405.50 : 1,157,976 = 1,157,976 : x
  2. Step 2: Convert to fraction form
    742,405.50/1,157,976 = 1,157,976/x
  3. Step 3: Cross multiply
    742,405.50x = 1,157,976 × 1,157,976
  4. Step 4: Simplify right side
    742,405.50x = 1,340,908,416,576
  5. Step 5: Solve for x
    x = 1,340,908,416,576/742,405.50
  6. Step 6: Final answer
    x = 1,806,167.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.