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Finding the Third Proportional to 386,368 and 591,024

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Solution

The third proportional to 386,368 and 591,024 is: 904,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,368 : 591,024 = 591,024 : x
  2. Step 2: Convert to fraction form
    386,368/591,024 = 591,024/x
  3. Step 3: Cross multiply
    386,368x = 591,024 × 591,024
  4. Step 4: Simplify right side
    386,368x = 349,309,368,576
  5. Step 5: Solve for x
    x = 349,309,368,576/386,368
  6. Step 6: Final answer
    x = 904,084.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.