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Finding the Third Proportional to 294,905.25 and 632,821.50

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Solution

The third proportional to 294,905.25 and 632,821.50 is: 1,357,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,905.25 : 632,821.50 = 632,821.50 : x
  2. Step 2: Convert to fraction form
    294,905.25/632,821.50 = 632,821.50/x
  3. Step 3: Cross multiply
    294,905.25x = 632,821.50 × 632,821.50
  4. Step 4: Simplify right side
    294,905.25x = 400,463,050,862.25
  5. Step 5: Solve for x
    x = 400,463,050,862.25/294,905.25
  6. Step 6: Final answer
    x = 1,357,938.02

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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.