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Finding the Third Proportional to 333,764 and 488,072

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Solution

The third proportional to 333,764 and 488,072 is: 713,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,764 : 488,072 = 488,072 : x
  2. Step 2: Convert to fraction form
    333,764/488,072 = 488,072/x
  3. Step 3: Cross multiply
    333,764x = 488,072 × 488,072
  4. Step 4: Simplify right side
    333,764x = 238,214,277,184
  5. Step 5: Solve for x
    x = 238,214,277,184/333,764
  6. Step 6: Final answer
    x = 713,720.70

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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.