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Finding the Third Proportional to 633,333.94 and 933,256.69

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Solution

The third proportional to 633,333.94 and 933,256.69 is: 1,375,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,333.94 : 933,256.69 = 933,256.69 : x
  2. Step 2: Convert to fraction form
    633,333.94/933,256.69 = 933,256.69/x
  3. Step 3: Cross multiply
    633,333.94x = 933,256.69 × 933,256.69
  4. Step 4: Simplify right side
    633,333.94x = 870,968,044,763.47
  5. Step 5: Solve for x
    x = 870,968,044,763.47/633,333.94
  6. Step 6: Final answer
    x = 1,375,211.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.