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Finding the Third Proportional to 268,288.50 and 553,587

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Solution

The third proportional to 268,288.50 and 553,587 is: 1,142,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,288.50 : 553,587 = 553,587 : x
  2. Step 2: Convert to fraction form
    268,288.50/553,587 = 553,587/x
  3. Step 3: Cross multiply
    268,288.50x = 553,587 × 553,587
  4. Step 4: Simplify right side
    268,288.50x = 306,458,566,569
  5. Step 5: Solve for x
    x = 306,458,566,569/268,288.50
  6. Step 6: Final answer
    x = 1,142,272.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.