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Finding the Third Proportional to 515,184 and 757,878

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Solution

The third proportional to 515,184 and 757,878 is: 1,114,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,184 : 757,878 = 757,878 : x
  2. Step 2: Convert to fraction form
    515,184/757,878 = 757,878/x
  3. Step 3: Cross multiply
    515,184x = 757,878 × 757,878
  4. Step 4: Simplify right side
    515,184x = 574,379,062,884
  5. Step 5: Solve for x
    x = 574,379,062,884/515,184
  6. Step 6: Final answer
    x = 1,114,900.82

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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.