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Finding the Third Proportional to 341,599 and 510,514

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Solution

The third proportional to 341,599 and 510,514 is: 762,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,599 : 510,514 = 510,514 : x
  2. Step 2: Convert to fraction form
    341,599/510,514 = 510,514/x
  3. Step 3: Cross multiply
    341,599x = 510,514 × 510,514
  4. Step 4: Simplify right side
    341,599x = 260,624,544,196
  5. Step 5: Solve for x
    x = 260,624,544,196/341,599
  6. Step 6: Final answer
    x = 762,954.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.