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Finding the Third Proportional to 317,479.50 and 656,869.50

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Solution

The third proportional to 317,479.50 and 656,869.50 is: 1,359,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,479.50 : 656,869.50 = 656,869.50 : x
  2. Step 2: Convert to fraction form
    317,479.50/656,869.50 = 656,869.50/x
  3. Step 3: Cross multiply
    317,479.50x = 656,869.50 × 656,869.50
  4. Step 4: Simplify right side
    317,479.50x = 431,477,540,030.25
  5. Step 5: Solve for x
    x = 431,477,540,030.25/317,479.50
  6. Step 6: Final answer
    x = 1,359,072.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.