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Finding the Third Proportional to 368,796 and 591,498

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Solution

The third proportional to 368,796 and 591,498 is: 948,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,796 : 591,498 = 591,498 : x
  2. Step 2: Convert to fraction form
    368,796/591,498 = 591,498/x
  3. Step 3: Cross multiply
    368,796x = 591,498 × 591,498
  4. Step 4: Simplify right side
    368,796x = 349,869,884,004
  5. Step 5: Solve for x
    x = 349,869,884,004/368,796
  6. Step 6: Final answer
    x = 948,681.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.