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Finding the Third Proportional to 212,418 and 463,482

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Solution

The third proportional to 212,418 and 463,482 is: 1,011,287.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,418 : 463,482 = 463,482 : x
  2. Step 2: Convert to fraction form
    212,418/463,482 = 463,482/x
  3. Step 3: Cross multiply
    212,418x = 463,482 × 463,482
  4. Step 4: Simplify right side
    212,418x = 214,815,564,324
  5. Step 5: Solve for x
    x = 214,815,564,324/212,418
  6. Step 6: Final answer
    x = 1,011,287.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.