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Finding the Third Proportional to 414,980 and 910,304

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Solution

The third proportional to 414,980 and 910,304 is: 1,996,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,980 : 910,304 = 910,304 : x
  2. Step 2: Convert to fraction form
    414,980/910,304 = 910,304/x
  3. Step 3: Cross multiply
    414,980x = 910,304 × 910,304
  4. Step 4: Simplify right side
    414,980x = 828,653,372,416
  5. Step 5: Solve for x
    x = 828,653,372,416/414,980
  6. Step 6: Final answer
    x = 1,996,851.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.