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Finding the Third Proportional to 302,032.50 and 650,350.50

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Solution

The third proportional to 302,032.50 and 650,350.50 is: 1,400,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,032.50 : 650,350.50 = 650,350.50 : x
  2. Step 2: Convert to fraction form
    302,032.50/650,350.50 = 650,350.50/x
  3. Step 3: Cross multiply
    302,032.50x = 650,350.50 × 650,350.50
  4. Step 4: Simplify right side
    302,032.50x = 422,955,772,850.25
  5. Step 5: Solve for x
    x = 422,955,772,850.25/302,032.50
  6. Step 6: Final answer
    x = 1,400,365.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.