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Finding the Third Proportional to 333,234 and 721,841.63

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Solution

The third proportional to 333,234 and 721,841.63 is: 1,563,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,234 : 721,841.63 = 721,841.63 : x
  2. Step 2: Convert to fraction form
    333,234/721,841.63 = 721,841.63/x
  3. Step 3: Cross multiply
    333,234x = 721,841.63 × 721,841.63
  4. Step 4: Simplify right side
    333,234x = 521,055,331,582.64
  5. Step 5: Solve for x
    x = 521,055,331,582.64/333,234
  6. Step 6: Final answer
    x = 1,563,631.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.