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Finding the Third Proportional to 333,315 and 476,307

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Solution

The third proportional to 333,315 and 476,307 is: 680,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,315 : 476,307 = 476,307 : x
  2. Step 2: Convert to fraction form
    333,315/476,307 = 476,307/x
  3. Step 3: Cross multiply
    333,315x = 476,307 × 476,307
  4. Step 4: Simplify right side
    333,315x = 226,868,358,249
  5. Step 5: Solve for x
    x = 226,868,358,249/333,315
  6. Step 6: Final answer
    x = 680,642.51

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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.