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Finding the Third Proportional to 317,904.75 and 480,097.13

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Solution

The third proportional to 317,904.75 and 480,097.13 is: 725,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,904.75 : 480,097.13 = 480,097.13 : x
  2. Step 2: Convert to fraction form
    317,904.75/480,097.13 = 480,097.13/x
  3. Step 3: Cross multiply
    317,904.75x = 480,097.13 × 480,097.13
  4. Step 4: Simplify right side
    317,904.75x = 230,493,249,433.27
  5. Step 5: Solve for x
    x = 230,493,249,433.27/317,904.75
  6. Step 6: Final answer
    x = 725,038.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.