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Finding the Third Proportional to 213,252 and 456,024

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Solution

The third proportional to 213,252 and 456,024 is: 975,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,252 : 456,024 = 456,024 : x
  2. Step 2: Convert to fraction form
    213,252/456,024 = 456,024/x
  3. Step 3: Cross multiply
    213,252x = 456,024 × 456,024
  4. Step 4: Simplify right side
    213,252x = 207,957,888,576
  5. Step 5: Solve for x
    x = 207,957,888,576/213,252
  6. Step 6: Final answer
    x = 975,174.39

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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.