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Finding the Third Proportional to 398,307.38 and 863,014.50

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Solution

The third proportional to 398,307.38 and 863,014.50 is: 1,869,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,307.38 : 863,014.50 = 863,014.50 : x
  2. Step 2: Convert to fraction form
    398,307.38/863,014.50 = 863,014.50/x
  3. Step 3: Cross multiply
    398,307.38x = 863,014.50 × 863,014.50
  4. Step 4: Simplify right side
    398,307.38x = 744,794,027,210.25
  5. Step 5: Solve for x
    x = 744,794,027,210.25/398,307.38
  6. Step 6: Final answer
    x = 1,869,897.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.