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Finding the Third Proportional to 482,787.84 and 709,392.94

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Solution

The third proportional to 482,787.84 and 709,392.94 is: 1,042,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,787.84 : 709,392.94 = 709,392.94 : x
  2. Step 2: Convert to fraction form
    482,787.84/709,392.94 = 709,392.94/x
  3. Step 3: Cross multiply
    482,787.84x = 709,392.94 × 709,392.94
  4. Step 4: Simplify right side
    482,787.84x = 503,238,339,774.88
  5. Step 5: Solve for x
    x = 503,238,339,774.88/482,787.84
  6. Step 6: Final answer
    x = 1,042,359.18

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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.