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Finding the Third Proportional to 363,246 and 566,947.50

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Solution

The third proportional to 363,246 and 566,947.50 is: 884,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,246 : 566,947.50 = 566,947.50 : x
  2. Step 2: Convert to fraction form
    363,246/566,947.50 = 566,947.50/x
  3. Step 3: Cross multiply
    363,246x = 566,947.50 × 566,947.50
  4. Step 4: Simplify right side
    363,246x = 321,429,467,756.25
  5. Step 5: Solve for x
    x = 321,429,467,756.25/363,246
  6. Step 6: Final answer
    x = 884,880.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.