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Finding the Third Proportional to 283,447.94 and 429,670.97

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Solution

The third proportional to 283,447.94 and 429,670.97 is: 651,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,447.94 : 429,670.97 = 429,670.97 : x
  2. Step 2: Convert to fraction form
    283,447.94/429,670.97 = 429,670.97/x
  3. Step 3: Cross multiply
    283,447.94x = 429,670.97 × 429,670.97
  4. Step 4: Simplify right side
    283,447.94x = 184,617,141,386.56
  5. Step 5: Solve for x
    x = 184,617,141,386.56/283,447.94
  6. Step 6: Final answer
    x = 651,326.46

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1.5x scale

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.