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Finding the Third Proportional to 456,158 and 708,051

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Solution

The third proportional to 456,158 and 708,051 is: 1,099,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,158 : 708,051 = 708,051 : x
  2. Step 2: Convert to fraction form
    456,158/708,051 = 708,051/x
  3. Step 3: Cross multiply
    456,158x = 708,051 × 708,051
  4. Step 4: Simplify right side
    456,158x = 501,336,218,601
  5. Step 5: Solve for x
    x = 501,336,218,601/456,158
  6. Step 6: Final answer
    x = 1,099,040.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.