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Finding the Third Proportional to 214,332 and 452,964

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Solution

The third proportional to 214,332 and 452,964 is: 957,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,332 : 452,964 = 452,964 : x
  2. Step 2: Convert to fraction form
    214,332/452,964 = 452,964/x
  3. Step 3: Cross multiply
    214,332x = 452,964 × 452,964
  4. Step 4: Simplify right side
    214,332x = 205,176,385,296
  5. Step 5: Solve for x
    x = 205,176,385,296/214,332
  6. Step 6: Final answer
    x = 957,283.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.