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Finding the Third Proportional to 392,341.88 and 591,398.50

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Solution

The third proportional to 392,341.88 and 591,398.50 is: 891,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,341.88 : 591,398.50 = 591,398.50 : x
  2. Step 2: Convert to fraction form
    392,341.88/591,398.50 = 591,398.50/x
  3. Step 3: Cross multiply
    392,341.88x = 591,398.50 × 591,398.50
  4. Step 4: Simplify right side
    392,341.88x = 349,752,185,802.25
  5. Step 5: Solve for x
    x = 349,752,185,802.25/392,341.88
  6. Step 6: Final answer
    x = 891,447.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.