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Finding the Third Proportional to 358,346 and 502,275

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Solution

The third proportional to 358,346 and 502,275 is: 704,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,346 : 502,275 = 502,275 : x
  2. Step 2: Convert to fraction form
    358,346/502,275 = 502,275/x
  3. Step 3: Cross multiply
    358,346x = 502,275 × 502,275
  4. Step 4: Simplify right side
    358,346x = 252,280,175,625
  5. Step 5: Solve for x
    x = 252,280,175,625/358,346
  6. Step 6: Final answer
    x = 704,012.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.