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Finding the Third Proportional to 200,410 and 294,060

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Solution

The third proportional to 200,410 and 294,060 is: 431,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,410 : 294,060 = 294,060 : x
  2. Step 2: Convert to fraction form
    200,410/294,060 = 294,060/x
  3. Step 3: Cross multiply
    200,410x = 294,060 × 294,060
  4. Step 4: Simplify right side
    200,410x = 86,471,283,600
  5. Step 5: Solve for x
    x = 86,471,283,600/200,410
  6. Step 6: Final answer
    x = 431,471.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.