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Finding the Third Proportional to 592,042.50 and 918,398.25

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Solution

The third proportional to 592,042.50 and 918,398.25 is: 1,424,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,042.50 : 918,398.25 = 918,398.25 : x
  2. Step 2: Convert to fraction form
    592,042.50/918,398.25 = 918,398.25/x
  3. Step 3: Cross multiply
    592,042.50x = 918,398.25 × 918,398.25
  4. Step 4: Simplify right side
    592,042.50x = 843,455,345,603.06
  5. Step 5: Solve for x
    x = 843,455,345,603.06/592,042.50
  6. Step 6: Final answer
    x = 1,424,653.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.