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Finding the Third Proportional to 333,864.75 and 707,454.75

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Solution

The third proportional to 333,864.75 and 707,454.75 is: 1,499,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,864.75 : 707,454.75 = 707,454.75 : x
  2. Step 2: Convert to fraction form
    333,864.75/707,454.75 = 707,454.75/x
  3. Step 3: Cross multiply
    333,864.75x = 707,454.75 × 707,454.75
  4. Step 4: Simplify right side
    333,864.75x = 500,492,223,297.56
  5. Step 5: Solve for x
    x = 500,492,223,297.56/333,864.75
  6. Step 6: Final answer
    x = 1,499,086.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.