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Finding the Third Proportional to 477,646.88 and 722,631.38

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Solution

The third proportional to 477,646.88 and 722,631.38 is: 1,093,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,646.88 : 722,631.38 = 722,631.38 : x
  2. Step 2: Convert to fraction form
    477,646.88/722,631.38 = 722,631.38/x
  3. Step 3: Cross multiply
    477,646.88x = 722,631.38 × 722,631.38
  4. Step 4: Simplify right side
    477,646.88x = 522,196,104,134.39
  5. Step 5: Solve for x
    x = 522,196,104,134.39/477,646.88
  6. Step 6: Final answer
    x = 1,093,268.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.