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Finding the Third Proportional to 341,688 and 520,957

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Solution

The third proportional to 341,688 and 520,957 is: 794,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,688 : 520,957 = 520,957 : x
  2. Step 2: Convert to fraction form
    341,688/520,957 = 520,957/x
  3. Step 3: Cross multiply
    341,688x = 520,957 × 520,957
  4. Step 4: Simplify right side
    341,688x = 271,396,195,849
  5. Step 5: Solve for x
    x = 271,396,195,849/341,688
  6. Step 6: Final answer
    x = 794,280.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.