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Finding the Third Proportional to 492,172 and 703,804

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Solution

The third proportional to 492,172 and 703,804 is: 1,006,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,172 : 703,804 = 703,804 : x
  2. Step 2: Convert to fraction form
    492,172/703,804 = 703,804/x
  3. Step 3: Cross multiply
    492,172x = 703,804 × 703,804
  4. Step 4: Simplify right side
    492,172x = 495,340,070,416
  5. Step 5: Solve for x
    x = 495,340,070,416/492,172
  6. Step 6: Final answer
    x = 1,006,436.92

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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.