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Finding the Third Proportional to 213,332 and 493,878

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Solution

The third proportional to 213,332 and 493,878 is: 1,143,360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,332 : 493,878 = 493,878 : x
  2. Step 2: Convert to fraction form
    213,332/493,878 = 493,878/x
  3. Step 3: Cross multiply
    213,332x = 493,878 × 493,878
  4. Step 4: Simplify right side
    213,332x = 243,915,478,884
  5. Step 5: Solve for x
    x = 243,915,478,884/213,332
  6. Step 6: Final answer
    x = 1,143,360.95

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.