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Finding the Third Proportional to 617,303.25 and 927,598.50

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Solution

The third proportional to 617,303.25 and 927,598.50 is: 1,393,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,303.25 : 927,598.50 = 927,598.50 : x
  2. Step 2: Convert to fraction form
    617,303.25/927,598.50 = 927,598.50/x
  3. Step 3: Cross multiply
    617,303.25x = 927,598.50 × 927,598.50
  4. Step 4: Simplify right side
    617,303.25x = 860,438,977,202.25
  5. Step 5: Solve for x
    x = 860,438,977,202.25/617,303.25
  6. Step 6: Final answer
    x = 1,393,867.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.