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Finding the Third Proportional to 569 and 1,470

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Solution

The third proportional to 569 and 1,470 is: 3,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569 : 1,470 = 1,470 : x
  2. Step 2: Convert to fraction form
    569/1,470 = 1,470/x
  3. Step 3: Cross multiply
    569x = 1,470 × 1,470
  4. Step 4: Simplify right side
    569x = 2,160,900
  5. Step 5: Solve for x
    x = 2,160,900/569
  6. Step 6: Final answer
    x = 3,797.72

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Why These Related Problems?

These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.