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Finding the Third Proportional to 331,346 and 510,048

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Solution

The third proportional to 331,346 and 510,048 is: 785,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,346 : 510,048 = 510,048 : x
  2. Step 2: Convert to fraction form
    331,346/510,048 = 510,048/x
  3. Step 3: Cross multiply
    331,346x = 510,048 × 510,048
  4. Step 4: Simplify right side
    331,346x = 260,148,962,304
  5. Step 5: Solve for x
    x = 260,148,962,304/331,346
  6. Step 6: Final answer
    x = 785,127.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.