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Finding the Third Proportional to 508,719 and 809,779

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Solution

The third proportional to 508,719 and 809,779 is: 1,289,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,719 : 809,779 = 809,779 : x
  2. Step 2: Convert to fraction form
    508,719/809,779 = 809,779/x
  3. Step 3: Cross multiply
    508,719x = 809,779 × 809,779
  4. Step 4: Simplify right side
    508,719x = 655,742,028,841
  5. Step 5: Solve for x
    x = 655,742,028,841/508,719
  6. Step 6: Final answer
    x = 1,289,006.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.