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Finding the Third Proportional to 587,795 and 879,415

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Solution

The third proportional to 587,795 and 879,415 is: 1,315,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,795 : 879,415 = 879,415 : x
  2. Step 2: Convert to fraction form
    587,795/879,415 = 879,415/x
  3. Step 3: Cross multiply
    587,795x = 879,415 × 879,415
  4. Step 4: Simplify right side
    587,795x = 773,370,742,225
  5. Step 5: Solve for x
    x = 773,370,742,225/587,795
  6. Step 6: Final answer
    x = 1,315,715.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.