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Finding the Third Proportional to 369,921.94 and 554,934.16

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Solution

The third proportional to 369,921.94 and 554,934.16 is: 832,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,921.94 : 554,934.16 = 554,934.16 : x
  2. Step 2: Convert to fraction form
    369,921.94/554,934.16 = 554,934.16/x
  3. Step 3: Cross multiply
    369,921.94x = 554,934.16 × 554,934.16
  4. Step 4: Simplify right side
    369,921.94x = 307,951,926,443.75
  5. Step 5: Solve for x
    x = 307,951,926,443.75/369,921.94
  6. Step 6: Final answer
    x = 832,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.