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Finding the Third Proportional to 608,788 and 946,331

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Solution

The third proportional to 608,788 and 946,331 is: 1,471,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,788 : 946,331 = 946,331 : x
  2. Step 2: Convert to fraction form
    608,788/946,331 = 946,331/x
  3. Step 3: Cross multiply
    608,788x = 946,331 × 946,331
  4. Step 4: Simplify right side
    608,788x = 895,542,361,561
  5. Step 5: Solve for x
    x = 895,542,361,561/608,788
  6. Step 6: Final answer
    x = 1,471,024.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.