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Finding the Third Proportional to 368,798 and 591,501

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Solution

The third proportional to 368,798 and 591,501 is: 948,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,798 : 591,501 = 591,501 : x
  2. Step 2: Convert to fraction form
    368,798/591,501 = 591,501/x
  3. Step 3: Cross multiply
    368,798x = 591,501 × 591,501
  4. Step 4: Simplify right side
    368,798x = 349,873,433,001
  5. Step 5: Solve for x
    x = 349,873,433,001/368,798
  6. Step 6: Final answer
    x = 948,685.82

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