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Finding the Third Proportional to 212,209 and 457,654

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Solution

The third proportional to 212,209 and 457,654 is: 986,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,209 : 457,654 = 457,654 : x
  2. Step 2: Convert to fraction form
    212,209/457,654 = 457,654/x
  3. Step 3: Cross multiply
    212,209x = 457,654 × 457,654
  4. Step 4: Simplify right side
    212,209x = 209,447,183,716
  5. Step 5: Solve for x
    x = 209,447,183,716/212,209
  6. Step 6: Final answer
    x = 986,985.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.