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Finding the Third Proportional to 305,924 and 656,133.50

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Solution

The third proportional to 305,924 and 656,133.50 is: 1,407,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,924 : 656,133.50 = 656,133.50 : x
  2. Step 2: Convert to fraction form
    305,924/656,133.50 = 656,133.50/x
  3. Step 3: Cross multiply
    305,924x = 656,133.50 × 656,133.50
  4. Step 4: Simplify right side
    305,924x = 430,511,169,822.25
  5. Step 5: Solve for x
    x = 430,511,169,822.25/305,924
  6. Step 6: Final answer
    x = 1,407,248.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.