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Finding the Third Proportional to 468,058.50 and 685,424.25

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Solution

The third proportional to 468,058.50 and 685,424.25 is: 1,003,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,058.50 : 685,424.25 = 685,424.25 : x
  2. Step 2: Convert to fraction form
    468,058.50/685,424.25 = 685,424.25/x
  3. Step 3: Cross multiply
    468,058.50x = 685,424.25 × 685,424.25
  4. Step 4: Simplify right side
    468,058.50x = 469,806,402,488.06
  5. Step 5: Solve for x
    x = 469,806,402,488.06/468,058.50
  6. Step 6: Final answer
    x = 1,003,734.37

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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.