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Finding the Third Proportional to 296,650 and 614,318

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Solution

The third proportional to 296,650 and 614,318 is: 1,272,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,650 : 614,318 = 614,318 : x
  2. Step 2: Convert to fraction form
    296,650/614,318 = 614,318/x
  3. Step 3: Cross multiply
    296,650x = 614,318 × 614,318
  4. Step 4: Simplify right side
    296,650x = 377,386,605,124
  5. Step 5: Solve for x
    x = 377,386,605,124/296,650
  6. Step 6: Final answer
    x = 1,272,161.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.