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Finding the Third Proportional to 335,440 and 498,587

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Solution

The third proportional to 335,440 and 498,587 is: 741,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,440 : 498,587 = 498,587 : x
  2. Step 2: Convert to fraction form
    335,440/498,587 = 498,587/x
  3. Step 3: Cross multiply
    335,440x = 498,587 × 498,587
  4. Step 4: Simplify right side
    335,440x = 248,588,996,569
  5. Step 5: Solve for x
    x = 248,588,996,569/335,440
  6. Step 6: Final answer
    x = 741,083.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.