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Finding the Third Proportional to 334,228 and 721,721

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Solution

The third proportional to 334,228 and 721,721 is: 1,558,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,228 : 721,721 = 721,721 : x
  2. Step 2: Convert to fraction form
    334,228/721,721 = 721,721/x
  3. Step 3: Cross multiply
    334,228x = 721,721 × 721,721
  4. Step 4: Simplify right side
    334,228x = 520,881,201,841
  5. Step 5: Solve for x
    x = 520,881,201,841/334,228
  6. Step 6: Final answer
    x = 1,558,460.70

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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.