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Finding the Third Proportional to 213,264 and 456,048

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Solution

The third proportional to 213,264 and 456,048 is: 975,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,264 : 456,048 = 456,048 : x
  2. Step 2: Convert to fraction form
    213,264/456,048 = 456,048/x
  3. Step 3: Cross multiply
    213,264x = 456,048 × 456,048
  4. Step 4: Simplify right side
    213,264x = 207,979,778,304
  5. Step 5: Solve for x
    x = 207,979,778,304/213,264
  6. Step 6: Final answer
    x = 975,222.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.