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Finding the Third Proportional to 325,878.75 and 477,151.88

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Solution

The third proportional to 325,878.75 and 477,151.88 is: 698,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,878.75 : 477,151.88 = 477,151.88 : x
  2. Step 2: Convert to fraction form
    325,878.75/477,151.88 = 477,151.88/x
  3. Step 3: Cross multiply
    325,878.75x = 477,151.88 × 477,151.88
  4. Step 4: Simplify right side
    325,878.75x = 227,673,911,816.02
  5. Step 5: Solve for x
    x = 227,673,911,816.02/325,878.75
  6. Step 6: Final answer
    x = 698,646.08

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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.