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Finding the Third Proportional to 333,258.50 and 476,223.50

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Solution

The third proportional to 333,258.50 and 476,223.50 is: 680,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,258.50 : 476,223.50 = 476,223.50 : x
  2. Step 2: Convert to fraction form
    333,258.50/476,223.50 = 476,223.50/x
  3. Step 3: Cross multiply
    333,258.50x = 476,223.50 × 476,223.50
  4. Step 4: Simplify right side
    333,258.50x = 226,788,821,952.25
  5. Step 5: Solve for x
    x = 226,788,821,952.25/333,258.50
  6. Step 6: Final answer
    x = 680,519.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.