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Finding the Third Proportional to 702,034.50 and 1,115,838

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Solution

The third proportional to 702,034.50 and 1,115,838 is: 1,773,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,034.50 : 1,115,838 = 1,115,838 : x
  2. Step 2: Convert to fraction form
    702,034.50/1,115,838 = 1,115,838/x
  3. Step 3: Cross multiply
    702,034.50x = 1,115,838 × 1,115,838
  4. Step 4: Simplify right side
    702,034.50x = 1,245,094,442,244
  5. Step 5: Solve for x
    x = 1,245,094,442,244/702,034.50
  6. Step 6: Final answer
    x = 1,773,551.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.