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Finding the Third Proportional to 695,840.25 and 1,077,429

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Solution

The third proportional to 695,840.25 and 1,077,429 is: 1,668,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,840.25 : 1,077,429 = 1,077,429 : x
  2. Step 2: Convert to fraction form
    695,840.25/1,077,429 = 1,077,429/x
  3. Step 3: Cross multiply
    695,840.25x = 1,077,429 × 1,077,429
  4. Step 4: Simplify right side
    695,840.25x = 1,160,853,250,041
  5. Step 5: Solve for x
    x = 1,160,853,250,041/695,840.25
  6. Step 6: Final answer
    x = 1,668,275.51

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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.