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Finding the Third Proportional to 361,032.75 and 773,302.50

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Solution

The third proportional to 361,032.75 and 773,302.50 is: 1,656,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,032.75 : 773,302.50 = 773,302.50 : x
  2. Step 2: Convert to fraction form
    361,032.75/773,302.50 = 773,302.50/x
  3. Step 3: Cross multiply
    361,032.75x = 773,302.50 × 773,302.50
  4. Step 4: Simplify right side
    361,032.75x = 597,996,756,506.25
  5. Step 5: Solve for x
    x = 597,996,756,506.25/361,032.75
  6. Step 6: Final answer
    x = 1,656,350.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.