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Finding the Third Proportional to 447,332.63 and 954,944.44

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Solution

The third proportional to 447,332.63 and 954,944.44 is: 2,038,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,332.63 : 954,944.44 = 954,944.44 : x
  2. Step 2: Convert to fraction form
    447,332.63/954,944.44 = 954,944.44/x
  3. Step 3: Cross multiply
    447,332.63x = 954,944.44 × 954,944.44
  4. Step 4: Simplify right side
    447,332.63x = 911,918,878,712.19
  5. Step 5: Solve for x
    x = 911,918,878,712.19/447,332.63
  6. Step 6: Final answer
    x = 2,038,570.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.