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Finding the Third Proportional to 295,620 and 648,466.50

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Solution

The third proportional to 295,620 and 648,466.50 is: 1,422,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,620 : 648,466.50 = 648,466.50 : x
  2. Step 2: Convert to fraction form
    295,620/648,466.50 = 648,466.50/x
  3. Step 3: Cross multiply
    295,620x = 648,466.50 × 648,466.50
  4. Step 4: Simplify right side
    295,620x = 420,508,801,622.25
  5. Step 5: Solve for x
    x = 420,508,801,622.25/295,620
  6. Step 6: Final answer
    x = 1,422,463.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.