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Finding the Third Proportional to 268,720.50 and 579,399

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Solution

The third proportional to 268,720.50 and 579,399 is: 1,249,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,720.50 : 579,399 = 579,399 : x
  2. Step 2: Convert to fraction form
    268,720.50/579,399 = 579,399/x
  3. Step 3: Cross multiply
    268,720.50x = 579,399 × 579,399
  4. Step 4: Simplify right side
    268,720.50x = 335,703,201,201
  5. Step 5: Solve for x
    x = 335,703,201,201/268,720.50
  6. Step 6: Final answer
    x = 1,249,265.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.