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Finding the Third Proportional to 230,240 and 498,312

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Solution

The third proportional to 230,240 and 498,312 is: 1,078,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,240 : 498,312 = 498,312 : x
  2. Step 2: Convert to fraction form
    230,240/498,312 = 498,312/x
  3. Step 3: Cross multiply
    230,240x = 498,312 × 498,312
  4. Step 4: Simplify right side
    230,240x = 248,314,849,344
  5. Step 5: Solve for x
    x = 248,314,849,344/230,240
  6. Step 6: Final answer
    x = 1,078,504.38

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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.