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Finding the Third Proportional to 286,794 and 455,500.13

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Solution

The third proportional to 286,794 and 455,500.13 is: 723,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,794 : 455,500.13 = 455,500.13 : x
  2. Step 2: Convert to fraction form
    286,794/455,500.13 = 455,500.13/x
  3. Step 3: Cross multiply
    286,794x = 455,500.13 × 455,500.13
  4. Step 4: Simplify right side
    286,794x = 207,480,363,875.02
  5. Step 5: Solve for x
    x = 207,480,363,875.02/286,794
  6. Step 6: Final answer
    x = 723,447.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.