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Finding the Third Proportional to 658,449 and 894,321

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Solution

The third proportional to 658,449 and 894,321 is: 1,214,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,449 : 894,321 = 894,321 : x
  2. Step 2: Convert to fraction form
    658,449/894,321 = 894,321/x
  3. Step 3: Cross multiply
    658,449x = 894,321 × 894,321
  4. Step 4: Simplify right side
    658,449x = 799,810,051,041
  5. Step 5: Solve for x
    x = 799,810,051,041/658,449
  6. Step 6: Final answer
    x = 1,214,687.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.