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Finding the Third Proportional to 434,517 and 636,222

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Solution

The third proportional to 434,517 and 636,222 is: 931,559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,517 : 636,222 = 636,222 : x
  2. Step 2: Convert to fraction form
    434,517/636,222 = 636,222/x
  3. Step 3: Cross multiply
    434,517x = 636,222 × 636,222
  4. Step 4: Simplify right side
    434,517x = 404,778,433,284
  5. Step 5: Solve for x
    x = 404,778,433,284/434,517
  6. Step 6: Final answer
    x = 931,559.49

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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.