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Finding the Third Proportional to 333,142.03 and 511,746.93

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Solution

The third proportional to 333,142.03 and 511,746.93 is: 786,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,142.03 : 511,746.93 = 511,746.93 : x
  2. Step 2: Convert to fraction form
    333,142.03/511,746.93 = 511,746.93/x
  3. Step 3: Cross multiply
    333,142.03x = 511,746.93 × 511,746.93
  4. Step 4: Simplify right side
    333,142.03x = 261,884,916,046.56
  5. Step 5: Solve for x
    x = 261,884,916,046.56/333,142.03
  6. Step 6: Final answer
    x = 786,105.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.