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Finding the Third Proportional to 500,906 and 733,377

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Solution

The third proportional to 500,906 and 733,377 is: 1,073,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,906 : 733,377 = 733,377 : x
  2. Step 2: Convert to fraction form
    500,906/733,377 = 733,377/x
  3. Step 3: Cross multiply
    500,906x = 733,377 × 733,377
  4. Step 4: Simplify right side
    500,906x = 537,841,824,129
  5. Step 5: Solve for x
    x = 537,841,824,129/500,906
  6. Step 6: Final answer
    x = 1,073,738.03

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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.