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Finding the Third Proportional to 317,592 and 681,232.50

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Solution

The third proportional to 317,592 and 681,232.50 is: 1,461,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,592 : 681,232.50 = 681,232.50 : x
  2. Step 2: Convert to fraction form
    317,592/681,232.50 = 681,232.50/x
  3. Step 3: Cross multiply
    317,592x = 681,232.50 × 681,232.50
  4. Step 4: Simplify right side
    317,592x = 464,077,719,056.25
  5. Step 5: Solve for x
    x = 464,077,719,056.25/317,592
  6. Step 6: Final answer
    x = 1,461,238.69

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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.