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Finding the Third Proportional to 582,442.31 and 882,684.84

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Solution

The third proportional to 582,442.31 and 882,684.84 is: 1,337,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,442.31 : 882,684.84 = 882,684.84 : x
  2. Step 2: Convert to fraction form
    582,442.31/882,684.84 = 882,684.84/x
  3. Step 3: Cross multiply
    582,442.31x = 882,684.84 × 882,684.84
  4. Step 4: Simplify right side
    582,442.31x = 779,132,533,385.96
  5. Step 5: Solve for x
    x = 779,132,533,385.96/582,442.31
  6. Step 6: Final answer
    x = 1,337,699.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.