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Finding the Third Proportional to 475,936 and 736,946

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Solution

The third proportional to 475,936 and 736,946 is: 1,141,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,936 : 736,946 = 736,946 : x
  2. Step 2: Convert to fraction form
    475,936/736,946 = 736,946/x
  3. Step 3: Cross multiply
    475,936x = 736,946 × 736,946
  4. Step 4: Simplify right side
    475,936x = 543,089,406,916
  5. Step 5: Solve for x
    x = 543,089,406,916/475,936
  6. Step 6: Final answer
    x = 1,141,097.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.