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Finding the Third Proportional to 581,024.39 and 849,239.44

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Solution

The third proportional to 581,024.39 and 849,239.44 is: 1,241,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,024.39 : 849,239.44 = 849,239.44 : x
  2. Step 2: Convert to fraction form
    581,024.39/849,239.44 = 849,239.44/x
  3. Step 3: Cross multiply
    581,024.39x = 849,239.44 × 849,239.44
  4. Step 4: Simplify right side
    581,024.39x = 721,207,622,205.32
  5. Step 5: Solve for x
    x = 721,207,622,205.32/581,024.39
  6. Step 6: Final answer
    x = 1,241,269.10

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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.