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Finding the Third Proportional to 695,841.75 and 1,077,430.50

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Solution

The third proportional to 695,841.75 and 1,077,430.50 is: 1,668,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,841.75 : 1,077,430.50 = 1,077,430.50 : x
  2. Step 2: Convert to fraction form
    695,841.75/1,077,430.50 = 1,077,430.50/x
  3. Step 3: Cross multiply
    695,841.75x = 1,077,430.50 × 1,077,430.50
  4. Step 4: Simplify right side
    695,841.75x = 1,160,856,482,330.25
  5. Step 5: Solve for x
    x = 1,160,856,482,330.25/695,841.75
  6. Step 6: Final answer
    x = 1,668,276.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.