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Finding the Third Proportional to 287,513 and 411,697

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Solution

The third proportional to 287,513 and 411,697 is: 589,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,513 : 411,697 = 411,697 : x
  2. Step 2: Convert to fraction form
    287,513/411,697 = 411,697/x
  3. Step 3: Cross multiply
    287,513x = 411,697 × 411,697
  4. Step 4: Simplify right side
    287,513x = 169,494,419,809
  5. Step 5: Solve for x
    x = 169,494,419,809/287,513
  6. Step 6: Final answer
    x = 589,519.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.