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Finding the Third Proportional to 333,570 and 517,281

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Solution

The third proportional to 333,570 and 517,281 is: 802,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,570 : 517,281 = 517,281 : x
  2. Step 2: Convert to fraction form
    333,570/517,281 = 517,281/x
  3. Step 3: Cross multiply
    333,570x = 517,281 × 517,281
  4. Step 4: Simplify right side
    333,570x = 267,579,632,961
  5. Step 5: Solve for x
    x = 267,579,632,961/333,570
  6. Step 6: Final answer
    x = 802,169.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.