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Finding the Third Proportional to 304,724.63 and 656,277

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Solution

The third proportional to 304,724.63 and 656,277 is: 1,413,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,724.63 : 656,277 = 656,277 : x
  2. Step 2: Convert to fraction form
    304,724.63/656,277 = 656,277/x
  3. Step 3: Cross multiply
    304,724.63x = 656,277 × 656,277
  4. Step 4: Simplify right side
    304,724.63x = 430,699,500,729
  5. Step 5: Solve for x
    x = 430,699,500,729/304,724.63
  6. Step 6: Final answer
    x = 1,413,405.63

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Why These Related Problems?

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