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Finding the Third Proportional to 498,160 and 793,058

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Solution

The third proportional to 498,160 and 793,058 is: 1,262,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,160 : 793,058 = 793,058 : x
  2. Step 2: Convert to fraction form
    498,160/793,058 = 793,058/x
  3. Step 3: Cross multiply
    498,160x = 793,058 × 793,058
  4. Step 4: Simplify right side
    498,160x = 628,940,991,364
  5. Step 5: Solve for x
    x = 628,940,991,364/498,160
  6. Step 6: Final answer
    x = 1,262,528.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.