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Finding the Third Proportional to 284,816.25 and 429,046.88

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Solution

The third proportional to 284,816.25 and 429,046.88 is: 646,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,816.25 : 429,046.88 = 429,046.88 : x
  2. Step 2: Convert to fraction form
    284,816.25/429,046.88 = 429,046.88/x
  3. Step 3: Cross multiply
    284,816.25x = 429,046.88 × 429,046.88
  4. Step 4: Simplify right side
    284,816.25x = 184,081,220,947.27
  5. Step 5: Solve for x
    x = 184,081,220,947.27/284,816.25
  6. Step 6: Final answer
    x = 646,315.72

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