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Finding the Third Proportional to 608,758 and 946,294

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Solution

The third proportional to 608,758 and 946,294 is: 1,470,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,758 : 946,294 = 946,294 : x
  2. Step 2: Convert to fraction form
    608,758/946,294 = 946,294/x
  3. Step 3: Cross multiply
    608,758x = 946,294 × 946,294
  4. Step 4: Simplify right side
    608,758x = 895,472,334,436
  5. Step 5: Solve for x
    x = 895,472,334,436/608,758
  6. Step 6: Final answer
    x = 1,470,982.45

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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.