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Finding the Third Proportional to 617,024.25 and 941,938.88

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Solution

The third proportional to 617,024.25 and 941,938.88 is: 1,437,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,024.25 : 941,938.88 = 941,938.88 : x
  2. Step 2: Convert to fraction form
    617,024.25/941,938.88 = 941,938.88/x
  3. Step 3: Cross multiply
    617,024.25x = 941,938.88 × 941,938.88
  4. Step 4: Simplify right side
    617,024.25x = 887,248,844,236.27
  5. Step 5: Solve for x
    x = 887,248,844,236.27/617,024.25
  6. Step 6: Final answer
    x = 1,437,948.09

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Why These Related Problems?

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