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Finding the Third Proportional to 212,708 and 464,053

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Solution

The third proportional to 212,708 and 464,053 is: 1,012,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,708 : 464,053 = 464,053 : x
  2. Step 2: Convert to fraction form
    212,708/464,053 = 464,053/x
  3. Step 3: Cross multiply
    212,708x = 464,053 × 464,053
  4. Step 4: Simplify right side
    212,708x = 215,345,186,809
  5. Step 5: Solve for x
    x = 215,345,186,809/212,708
  6. Step 6: Final answer
    x = 1,012,398.16

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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.