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Finding the Third Proportional to 608,498 and 945,935

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Solution

The third proportional to 608,498 and 945,935 is: 1,470,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,498 : 945,935 = 945,935 : x
  2. Step 2: Convert to fraction form
    608,498/945,935 = 945,935/x
  3. Step 3: Cross multiply
    608,498x = 945,935 × 945,935
  4. Step 4: Simplify right side
    608,498x = 894,793,024,225
  5. Step 5: Solve for x
    x = 894,793,024,225/608,498
  6. Step 6: Final answer
    x = 1,470,494.60

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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.