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Finding the Third Proportional to 305,412.75 and 657,646.88

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Solution

The third proportional to 305,412.75 and 657,646.88 is: 1,416,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,412.75 : 657,646.88 = 657,646.88 : x
  2. Step 2: Convert to fraction form
    305,412.75/657,646.88 = 657,646.88/x
  3. Step 3: Cross multiply
    305,412.75x = 657,646.88 × 657,646.88
  4. Step 4: Simplify right side
    305,412.75x = 432,499,412,197.27
  5. Step 5: Solve for x
    x = 432,499,412,197.27/305,412.75
  6. Step 6: Final answer
    x = 1,416,114.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.