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Finding the Third Proportional to 308,569.50 and 466,135.50

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Solution

The third proportional to 308,569.50 and 466,135.50 is: 704,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,569.50 : 466,135.50 = 466,135.50 : x
  2. Step 2: Convert to fraction form
    308,569.50/466,135.50 = 466,135.50/x
  3. Step 3: Cross multiply
    308,569.50x = 466,135.50 × 466,135.50
  4. Step 4: Simplify right side
    308,569.50x = 217,282,304,360.25
  5. Step 5: Solve for x
    x = 217,282,304,360.25/308,569.50
  6. Step 6: Final answer
    x = 704,160.02

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