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Finding the Third Proportional to 211,810 and 454,332

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Solution

The third proportional to 211,810 and 454,332 is: 974,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,810 : 454,332 = 454,332 : x
  2. Step 2: Convert to fraction form
    211,810/454,332 = 454,332/x
  3. Step 3: Cross multiply
    211,810x = 454,332 × 454,332
  4. Step 4: Simplify right side
    211,810x = 206,417,566,224
  5. Step 5: Solve for x
    x = 206,417,566,224/211,810
  6. Step 6: Final answer
    x = 974,541.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.