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Finding the Third Proportional to 647,358 and 990,745.50

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Solution

The third proportional to 647,358 and 990,745.50 is: 1,516,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,358 : 990,745.50 = 990,745.50 : x
  2. Step 2: Convert to fraction form
    647,358/990,745.50 = 990,745.50/x
  3. Step 3: Cross multiply
    647,358x = 990,745.50 × 990,745.50
  4. Step 4: Simplify right side
    647,358x = 981,576,645,770.25
  5. Step 5: Solve for x
    x = 981,576,645,770.25/647,358
  6. Step 6: Final answer
    x = 1,516,281.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.