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Finding the Third Proportional to 586.83 and 901.65

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Solution

The third proportional to 586.83 and 901.65 is: 1,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.83 : 901.65 = 901.65 : x
  2. Step 2: Convert to fraction form
    586.83/901.65 = 901.65/x
  3. Step 3: Cross multiply
    586.83x = 901.65 × 901.65
  4. Step 4: Simplify right side
    586.83x = 812,976.95
  5. Step 5: Solve for x
    x = 812,976.95/586.83
  6. Step 6: Final answer
    x = 1,385.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.