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Finding the Third Proportional to 305,921.25 and 656,130

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Solution

The third proportional to 305,921.25 and 656,130 is: 1,407,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,921.25 : 656,130 = 656,130 : x
  2. Step 2: Convert to fraction form
    305,921.25/656,130 = 656,130/x
  3. Step 3: Cross multiply
    305,921.25x = 656,130 × 656,130
  4. Step 4: Simplify right side
    305,921.25x = 430,506,576,900
  5. Step 5: Solve for x
    x = 430,506,576,900/305,921.25
  6. Step 6: Final answer
    x = 1,407,246.40

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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.