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Finding the Third Proportional to 216,644 and 473,032

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Solution

The third proportional to 216,644 and 473,032 is: 1,032,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,644 : 473,032 = 473,032 : x
  2. Step 2: Convert to fraction form
    216,644/473,032 = 473,032/x
  3. Step 3: Cross multiply
    216,644x = 473,032 × 473,032
  4. Step 4: Simplify right side
    216,644x = 223,759,273,024
  5. Step 5: Solve for x
    x = 223,759,273,024/216,644
  6. Step 6: Final answer
    x = 1,032,843.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.