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Finding the Third Proportional to 434,513 and 636,216

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Solution

The third proportional to 434,513 and 636,216 is: 931,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,513 : 636,216 = 636,216 : x
  2. Step 2: Convert to fraction form
    434,513/636,216 = 636,216/x
  3. Step 3: Cross multiply
    434,513x = 636,216 × 636,216
  4. Step 4: Simplify right side
    434,513x = 404,770,798,656
  5. Step 5: Solve for x
    x = 404,770,798,656/434,513
  6. Step 6: Final answer
    x = 931,550.49

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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.