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Finding the Third Proportional to 333,673.88 and 719,836.88

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Solution

The third proportional to 333,673.88 and 719,836.88 is: 1,552,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,673.88 : 719,836.88 = 719,836.88 : x
  2. Step 2: Convert to fraction form
    333,673.88/719,836.88 = 719,836.88/x
  3. Step 3: Cross multiply
    333,673.88x = 719,836.88 × 719,836.88
  4. Step 4: Simplify right side
    333,673.88x = 518,165,126,609.77
  5. Step 5: Solve for x
    x = 518,165,126,609.77/333,673.88
  6. Step 6: Final answer
    x = 1,552,908.89

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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.