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Finding the Third Proportional to 284,269.13 and 429,357.75

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Solution

The third proportional to 284,269.13 and 429,357.75 is: 648,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,269.13 : 429,357.75 = 429,357.75 : x
  2. Step 2: Convert to fraction form
    284,269.13/429,357.75 = 429,357.75/x
  3. Step 3: Cross multiply
    284,269.13x = 429,357.75 × 429,357.75
  4. Step 4: Simplify right side
    284,269.13x = 184,348,077,485.06
  5. Step 5: Solve for x
    x = 184,348,077,485.06/284,269.13
  6. Step 6: Final answer
    x = 648,498.42

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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.