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Finding the Third Proportional to 570.50 and 833.75

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Solution

The third proportional to 570.50 and 833.75 is: 1,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.50 : 833.75 = 833.75 : x
  2. Step 2: Convert to fraction form
    570.50/833.75 = 833.75/x
  3. Step 3: Cross multiply
    570.50x = 833.75 × 833.75
  4. Step 4: Simplify right side
    570.50x = 695,139.06
  5. Step 5: Solve for x
    x = 695,139.06/570.50
  6. Step 6: Final answer
    x = 1,218.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.