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Finding the Third Proportional to 333,536 and 729,358

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Solution

The third proportional to 333,536 and 729,358 is: 1,594,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,536 : 729,358 = 729,358 : x
  2. Step 2: Convert to fraction form
    333,536/729,358 = 729,358/x
  3. Step 3: Cross multiply
    333,536x = 729,358 × 729,358
  4. Step 4: Simplify right side
    333,536x = 531,963,092,164
  5. Step 5: Solve for x
    x = 531,963,092,164/333,536
  6. Step 6: Final answer
    x = 1,594,919.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.