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Finding the Third Proportional to 404,509.50 and 887,748.75

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Solution

The third proportional to 404,509.50 and 887,748.75 is: 1,948,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,509.50 : 887,748.75 = 887,748.75 : x
  2. Step 2: Convert to fraction form
    404,509.50/887,748.75 = 887,748.75/x
  3. Step 3: Cross multiply
    404,509.50x = 887,748.75 × 887,748.75
  4. Step 4: Simplify right side
    404,509.50x = 788,097,843,126.56
  5. Step 5: Solve for x
    x = 788,097,843,126.56/404,509.50
  6. Step 6: Final answer
    x = 1,948,280.18

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Why These Related Problems?

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