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Finding the Third Proportional to 297,032 and 460,344

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Solution

The third proportional to 297,032 and 460,344 is: 713,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,032 : 460,344 = 460,344 : x
  2. Step 2: Convert to fraction form
    297,032/460,344 = 460,344/x
  3. Step 3: Cross multiply
    297,032x = 460,344 × 460,344
  4. Step 4: Simplify right side
    297,032x = 211,916,598,336
  5. Step 5: Solve for x
    x = 211,916,598,336/297,032
  6. Step 6: Final answer
    x = 713,447.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.