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Finding the Third Proportional to 268,134 and 554,827.50

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Solution

The third proportional to 268,134 and 554,827.50 is: 1,148,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,134 : 554,827.50 = 554,827.50 : x
  2. Step 2: Convert to fraction form
    268,134/554,827.50 = 554,827.50/x
  3. Step 3: Cross multiply
    268,134x = 554,827.50 × 554,827.50
  4. Step 4: Simplify right side
    268,134x = 307,833,554,756.25
  5. Step 5: Solve for x
    x = 307,833,554,756.25/268,134
  6. Step 6: Final answer
    x = 1,148,058.64

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.