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Finding the Third Proportional to 333,243 and 488,001.75

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Solution

The third proportional to 333,243 and 488,001.75 is: 714,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,243 : 488,001.75 = 488,001.75 : x
  2. Step 2: Convert to fraction form
    333,243/488,001.75 = 488,001.75/x
  3. Step 3: Cross multiply
    333,243x = 488,001.75 × 488,001.75
  4. Step 4: Simplify right side
    333,243x = 238,145,708,003.06
  5. Step 5: Solve for x
    x = 238,145,708,003.06/333,243
  6. Step 6: Final answer
    x = 714,630.79

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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.