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Finding the Third Proportional to 341,569 and 501,275

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Solution

The third proportional to 341,569 and 501,275 is: 735,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,569 : 501,275 = 501,275 : x
  2. Step 2: Convert to fraction form
    341,569/501,275 = 501,275/x
  3. Step 3: Cross multiply
    341,569x = 501,275 × 501,275
  4. Step 4: Simplify right side
    341,569x = 251,276,625,625
  5. Step 5: Solve for x
    x = 251,276,625,625/341,569
  6. Step 6: Final answer
    x = 735,654.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.