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Finding the Third Proportional to 477,646.88 and 696,782.25

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Solution

The third proportional to 477,646.88 and 696,782.25 is: 1,016,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,646.88 : 696,782.25 = 696,782.25 : x
  2. Step 2: Convert to fraction form
    477,646.88/696,782.25 = 696,782.25/x
  3. Step 3: Cross multiply
    477,646.88x = 696,782.25 × 696,782.25
  4. Step 4: Simplify right side
    477,646.88x = 485,505,503,915.06
  5. Step 5: Solve for x
    x = 485,505,503,915.06/477,646.88
  6. Step 6: Final answer
    x = 1,016,452.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.