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Finding the Third Proportional to 742,513.50 and 1,158,117.75

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Solution

The third proportional to 742,513.50 and 1,158,117.75 is: 1,806,346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,513.50 : 1,158,117.75 = 1,158,117.75 : x
  2. Step 2: Convert to fraction form
    742,513.50/1,158,117.75 = 1,158,117.75/x
  3. Step 3: Cross multiply
    742,513.50x = 1,158,117.75 × 1,158,117.75
  4. Step 4: Simplify right side
    742,513.50x = 1,341,236,722,865.06
  5. Step 5: Solve for x
    x = 1,341,236,722,865.06/742,513.50
  6. Step 6: Final answer
    x = 1,806,346.58

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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.