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Finding the Third Proportional to 285,895.50 and 419,294

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Solution

The third proportional to 285,895.50 and 419,294 is: 614,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,895.50 : 419,294 = 419,294 : x
  2. Step 2: Convert to fraction form
    285,895.50/419,294 = 419,294/x
  3. Step 3: Cross multiply
    285,895.50x = 419,294 × 419,294
  4. Step 4: Simplify right side
    285,895.50x = 175,807,458,436
  5. Step 5: Solve for x
    x = 175,807,458,436/285,895.50
  6. Step 6: Final answer
    x = 614,936.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.