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Finding the Third Proportional to 317,025,516.50 and 509,616,860.75

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Solution

The third proportional to 317,025,516.50 and 509,616,860.75 is: 819,206,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,025,516.50 : 509,616,860.75 = 509,616,860.75 : x
  2. Step 2: Convert to fraction form
    317,025,516.50/509,616,860.75 = 509,616,860.75/x
  3. Step 3: Cross multiply
    317,025,516.50x = 509,616,860.75 × 509,616,860.75
  4. Step 4: Simplify right side
    317,025,516.50x = 259,709,344,760,684,896
  5. Step 5: Solve for x
    x = 259,709,344,760,684,896/317,025,516.50
  6. Step 6: Final answer
    x = 819,206,440.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.