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Finding the Third Proportional to 600,908.50 and 916,521

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Solution

The third proportional to 600,908.50 and 916,521 is: 1,397,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,908.50 : 916,521 = 916,521 : x
  2. Step 2: Convert to fraction form
    600,908.50/916,521 = 916,521/x
  3. Step 3: Cross multiply
    600,908.50x = 916,521 × 916,521
  4. Step 4: Simplify right side
    600,908.50x = 840,010,743,441
  5. Step 5: Solve for x
    x = 840,010,743,441/600,908.50
  6. Step 6: Final answer
    x = 1,397,901.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.