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Finding the Third Proportional to 317,946.94 and 681,957.56

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Solution

The third proportional to 317,946.94 and 681,957.56 is: 1,462,716.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,946.94 : 681,957.56 = 681,957.56 : x
  2. Step 2: Convert to fraction form
    317,946.94/681,957.56 = 681,957.56/x
  3. Step 3: Cross multiply
    317,946.94x = 681,957.56 × 681,957.56
  4. Step 4: Simplify right side
    317,946.94x = 465,066,117,050.94
  5. Step 5: Solve for x
    x = 465,066,117,050.94/317,946.94
  6. Step 6: Final answer
    x = 1,462,716.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.