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Finding the Third Proportional to 460,967.25 and 723,123

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Solution

The third proportional to 460,967.25 and 723,123 is: 1,134,368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,967.25 : 723,123 = 723,123 : x
  2. Step 2: Convert to fraction form
    460,967.25/723,123 = 723,123/x
  3. Step 3: Cross multiply
    460,967.25x = 723,123 × 723,123
  4. Step 4: Simplify right side
    460,967.25x = 522,906,873,129
  5. Step 5: Solve for x
    x = 522,906,873,129/460,967.25
  6. Step 6: Final answer
    x = 1,134,368.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.