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Finding the Third Proportional to 362,368 and 532,894

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Solution

The third proportional to 362,368 and 532,894 is: 783,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,368 : 532,894 = 532,894 : x
  2. Step 2: Convert to fraction form
    362,368/532,894 = 532,894/x
  3. Step 3: Cross multiply
    362,368x = 532,894 × 532,894
  4. Step 4: Simplify right side
    362,368x = 283,976,015,236
  5. Step 5: Solve for x
    x = 283,976,015,236/362,368
  6. Step 6: Final answer
    x = 783,667.47

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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.