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Finding the Third Proportional to 517,106 and 758,619

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Solution

The third proportional to 517,106 and 758,619 is: 1,112,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,106 : 758,619 = 758,619 : x
  2. Step 2: Convert to fraction form
    517,106/758,619 = 758,619/x
  3. Step 3: Cross multiply
    517,106x = 758,619 × 758,619
  4. Step 4: Simplify right side
    517,106x = 575,502,787,161
  5. Step 5: Solve for x
    x = 575,502,787,161/517,106
  6. Step 6: Final answer
    x = 1,112,930.01

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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.