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Finding the Third Proportional to 516,078 and 758,943

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Solution

The third proportional to 516,078 and 758,943 is: 1,116,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,078 : 758,943 = 758,943 : x
  2. Step 2: Convert to fraction form
    516,078/758,943 = 758,943/x
  3. Step 3: Cross multiply
    516,078x = 758,943 × 758,943
  4. Step 4: Simplify right side
    516,078x = 575,994,477,249
  5. Step 5: Solve for x
    x = 575,994,477,249/516,078
  6. Step 6: Final answer
    x = 1,116,099.65

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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.