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Finding the Third Proportional to 492,197 and 703,830

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Solution

The third proportional to 492,197 and 703,830 is: 1,006,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,197 : 703,830 = 703,830 : x
  2. Step 2: Convert to fraction form
    492,197/703,830 = 703,830/x
  3. Step 3: Cross multiply
    492,197x = 703,830 × 703,830
  4. Step 4: Simplify right side
    492,197x = 495,376,668,900
  5. Step 5: Solve for x
    x = 495,376,668,900/492,197
  6. Step 6: Final answer
    x = 1,006,460.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.