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Finding the Third Proportional to 434,542 and 636,260

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Solution

The third proportional to 434,542 and 636,260 is: 931,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,542 : 636,260 = 636,260 : x
  2. Step 2: Convert to fraction form
    434,542/636,260 = 636,260/x
  3. Step 3: Cross multiply
    434,542x = 636,260 × 636,260
  4. Step 4: Simplify right side
    434,542x = 404,826,787,600
  5. Step 5: Solve for x
    x = 404,826,787,600/434,542
  6. Step 6: Final answer
    x = 931,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.