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Finding the Third Proportional to 454,717.55 and 713,317.64

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Solution

The third proportional to 454,717.55 and 713,317.64 is: 1,118,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,717.55 : 713,317.64 = 713,317.64 : x
  2. Step 2: Convert to fraction form
    454,717.55/713,317.64 = 713,317.64/x
  3. Step 3: Cross multiply
    454,717.55x = 713,317.64 × 713,317.64
  4. Step 4: Simplify right side
    454,717.55x = 508,822,056,426.82
  5. Step 5: Solve for x
    x = 508,822,056,426.82/454,717.55
  6. Step 6: Final answer
    x = 1,118,984.87

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Why These Related Problems?

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