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Finding the Third Proportional to 333,360 and 476,358

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Solution

The third proportional to 333,360 and 476,358 is: 680,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,360 : 476,358 = 476,358 : x
  2. Step 2: Convert to fraction form
    333,360/476,358 = 476,358/x
  3. Step 3: Cross multiply
    333,360x = 476,358 × 476,358
  4. Step 4: Simplify right side
    333,360x = 226,916,944,164
  5. Step 5: Solve for x
    x = 226,916,944,164/333,360
  6. Step 6: Final answer
    x = 680,696.38

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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.