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Finding the Third Proportional to 191,527 and 416,678

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Solution

The third proportional to 191,527 and 416,678 is: 906,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,527 : 416,678 = 416,678 : x
  2. Step 2: Convert to fraction form
    191,527/416,678 = 416,678/x
  3. Step 3: Cross multiply
    191,527x = 416,678 × 416,678
  4. Step 4: Simplify right side
    191,527x = 173,620,555,684
  5. Step 5: Solve for x
    x = 173,620,555,684/191,527
  6. Step 6: Final answer
    x = 906,506.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.