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Finding the Third Proportional to 695,200 and 931,128

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Solution

The third proportional to 695,200 and 931,128 is: 1,247,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,200 : 931,128 = 931,128 : x
  2. Step 2: Convert to fraction form
    695,200/931,128 = 931,128/x
  3. Step 3: Cross multiply
    695,200x = 931,128 × 931,128
  4. Step 4: Simplify right side
    695,200x = 866,999,352,384
  5. Step 5: Solve for x
    x = 866,999,352,384/695,200
  6. Step 6: Final answer
    x = 1,247,122.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.