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Finding the Third Proportional to 584,203.50 and 1,214,844

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Solution

The third proportional to 584,203.50 and 1,214,844 is: 2,526,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,203.50 : 1,214,844 = 1,214,844 : x
  2. Step 2: Convert to fraction form
    584,203.50/1,214,844 = 1,214,844/x
  3. Step 3: Cross multiply
    584,203.50x = 1,214,844 × 1,214,844
  4. Step 4: Simplify right side
    584,203.50x = 1,475,845,944,336
  5. Step 5: Solve for x
    x = 1,475,845,944,336/584,203.50
  6. Step 6: Final answer
    x = 2,526,253.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.