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Finding the Third Proportional to 308,466 and 466,587.75

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Solution

The third proportional to 308,466 and 466,587.75 is: 705,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,466 : 466,587.75 = 466,587.75 : x
  2. Step 2: Convert to fraction form
    308,466/466,587.75 = 466,587.75/x
  3. Step 3: Cross multiply
    308,466x = 466,587.75 × 466,587.75
  4. Step 4: Simplify right side
    308,466x = 217,704,128,450.06
  5. Step 5: Solve for x
    x = 217,704,128,450.06/308,466
  6. Step 6: Final answer
    x = 705,763.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.