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Finding the Third Proportional to 333,654.19 and 486,265.78

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Solution

The third proportional to 333,654.19 and 486,265.78 is: 708,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,654.19 : 486,265.78 = 486,265.78 : x
  2. Step 2: Convert to fraction form
    333,654.19/486,265.78 = 486,265.78/x
  3. Step 3: Cross multiply
    333,654.19x = 486,265.78 × 486,265.78
  4. Step 4: Simplify right side
    333,654.19x = 236,454,410,014.67
  5. Step 5: Solve for x
    x = 236,454,410,014.67/333,654.19
  6. Step 6: Final answer
    x = 708,681.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.