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Finding the Third Proportional to 230,332 and 498,391

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Solution

The third proportional to 230,332 and 498,391 is: 1,078,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,332 : 498,391 = 498,391 : x
  2. Step 2: Convert to fraction form
    230,332/498,391 = 498,391/x
  3. Step 3: Cross multiply
    230,332x = 498,391 × 498,391
  4. Step 4: Simplify right side
    230,332x = 248,393,588,881
  5. Step 5: Solve for x
    x = 248,393,588,881/230,332
  6. Step 6: Final answer
    x = 1,078,415.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.