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Finding the Third Proportional to 333,676.13 and 719,838.56

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Solution

The third proportional to 333,676.13 and 719,838.56 is: 1,552,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,676.13 : 719,838.56 = 719,838.56 : x
  2. Step 2: Convert to fraction form
    333,676.13/719,838.56 = 719,838.56/x
  3. Step 3: Cross multiply
    333,676.13x = 719,838.56 × 719,838.56
  4. Step 4: Simplify right side
    333,676.13x = 518,167,556,062.07
  5. Step 5: Solve for x
    x = 518,167,556,062.07/333,676.13
  6. Step 6: Final answer
    x = 1,552,905.70

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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.