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Finding the Third Proportional to 303,705 and 644,782.50

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Solution

The third proportional to 303,705 and 644,782.50 is: 1,368,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,705 : 644,782.50 = 644,782.50 : x
  2. Step 2: Convert to fraction form
    303,705/644,782.50 = 644,782.50/x
  3. Step 3: Cross multiply
    303,705x = 644,782.50 × 644,782.50
  4. Step 4: Simplify right side
    303,705x = 415,744,472,306.25
  5. Step 5: Solve for x
    x = 415,744,472,306.25/303,705
  6. Step 6: Final answer
    x = 1,368,908.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.