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Finding the Third Proportional to 402,216.13 and 591,012.25

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Solution

The third proportional to 402,216.13 and 591,012.25 is: 868,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,216.13 : 591,012.25 = 591,012.25 : x
  2. Step 2: Convert to fraction form
    402,216.13/591,012.25 = 591,012.25/x
  3. Step 3: Cross multiply
    402,216.13x = 591,012.25 × 591,012.25
  4. Step 4: Simplify right side
    402,216.13x = 349,295,479,650.06
  5. Step 5: Solve for x
    x = 349,295,479,650.06/402,216.13
  6. Step 6: Final answer
    x = 868,427.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.