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Finding the Third Proportional to 283,446 and 429,667.88

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Solution

The third proportional to 283,446 and 429,667.88 is: 651,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,446 : 429,667.88 = 429,667.88 : x
  2. Step 2: Convert to fraction form
    283,446/429,667.88 = 429,667.88/x
  3. Step 3: Cross multiply
    283,446x = 429,667.88 × 429,667.88
  4. Step 4: Simplify right side
    283,446x = 184,614,482,807.02
  5. Step 5: Solve for x
    x = 184,614,482,807.02/283,446
  6. Step 6: Final answer
    x = 651,321.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.