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Finding the Third Proportional to 408,138.75 and 953,070.47

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Solution

The third proportional to 408,138.75 and 953,070.47 is: 2,225,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,138.75 : 953,070.47 = 953,070.47 : x
  2. Step 2: Convert to fraction form
    408,138.75/953,070.47 = 953,070.47/x
  3. Step 3: Cross multiply
    408,138.75x = 953,070.47 × 953,070.47
  4. Step 4: Simplify right side
    408,138.75x = 908,343,318,403.35
  5. Step 5: Solve for x
    x = 908,343,318,403.35/408,138.75
  6. Step 6: Final answer
    x = 2,225,574.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.