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Finding the Third Proportional to 202,577 and 434,587

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Solution

The third proportional to 202,577 and 434,587 is: 932,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,577 : 434,587 = 434,587 : x
  2. Step 2: Convert to fraction form
    202,577/434,587 = 434,587/x
  3. Step 3: Cross multiply
    202,577x = 434,587 × 434,587
  4. Step 4: Simplify right side
    202,577x = 188,865,860,569
  5. Step 5: Solve for x
    x = 188,865,860,569/202,577
  6. Step 6: Final answer
    x = 932,316.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.