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Finding the Third Proportional to 298,774 and 645,115

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Solution

The third proportional to 298,774 and 645,115 is: 1,392,937.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,774 : 645,115 = 645,115 : x
  2. Step 2: Convert to fraction form
    298,774/645,115 = 645,115/x
  3. Step 3: Cross multiply
    298,774x = 645,115 × 645,115
  4. Step 4: Simplify right side
    298,774x = 416,173,363,225
  5. Step 5: Solve for x
    x = 416,173,363,225/298,774
  6. Step 6: Final answer
    x = 1,392,937.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.