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Finding the Third Proportional to 386,140 and 597,894

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Solution

The third proportional to 386,140 and 597,894 is: 925,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,140 : 597,894 = 597,894 : x
  2. Step 2: Convert to fraction form
    386,140/597,894 = 597,894/x
  3. Step 3: Cross multiply
    386,140x = 597,894 × 597,894
  4. Step 4: Simplify right side
    386,140x = 357,477,235,236
  5. Step 5: Solve for x
    x = 357,477,235,236/386,140
  6. Step 6: Final answer
    x = 925,771.06

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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.