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Finding the Third Proportional to 230,046 and 469,482

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Solution

The third proportional to 230,046 and 469,482 is: 958,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,046 : 469,482 = 469,482 : x
  2. Step 2: Convert to fraction form
    230,046/469,482 = 469,482/x
  3. Step 3: Cross multiply
    230,046x = 469,482 × 469,482
  4. Step 4: Simplify right side
    230,046x = 220,413,348,324
  5. Step 5: Solve for x
    x = 220,413,348,324/230,046
  6. Step 6: Final answer
    x = 958,127.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.