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Finding the Third Proportional to 386,971 and 597,969

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Solution

The third proportional to 386,971 and 597,969 is: 924,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,971 : 597,969 = 597,969 : x
  2. Step 2: Convert to fraction form
    386,971/597,969 = 597,969/x
  3. Step 3: Cross multiply
    386,971x = 597,969 × 597,969
  4. Step 4: Simplify right side
    386,971x = 357,566,924,961
  5. Step 5: Solve for x
    x = 357,566,924,961/386,971
  6. Step 6: Final answer
    x = 924,014.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.