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Finding the Third Proportional to 583,135.31 and 870,202.13

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Solution

The third proportional to 583,135.31 and 870,202.13 is: 1,298,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,135.31 : 870,202.13 = 870,202.13 : x
  2. Step 2: Convert to fraction form
    583,135.31/870,202.13 = 870,202.13/x
  3. Step 3: Cross multiply
    583,135.31x = 870,202.13 × 870,202.13
  4. Step 4: Simplify right side
    583,135.31x = 757,251,738,354.52
  5. Step 5: Solve for x
    x = 757,251,738,354.52/583,135.31
  6. Step 6: Final answer
    x = 1,298,586.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.