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Finding the Third Proportional to 303,359 and 660,523

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Solution

The third proportional to 303,359 and 660,523 is: 1,438,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,359 : 660,523 = 660,523 : x
  2. Step 2: Convert to fraction form
    303,359/660,523 = 660,523/x
  3. Step 3: Cross multiply
    303,359x = 660,523 × 660,523
  4. Step 4: Simplify right side
    303,359x = 436,290,633,529
  5. Step 5: Solve for x
    x = 436,290,633,529/303,359
  6. Step 6: Final answer
    x = 1,438,199.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.