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Finding the Third Proportional to 345,246 and 529,943

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Solution

The third proportional to 345,246 and 529,943 is: 813,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,246 : 529,943 = 529,943 : x
  2. Step 2: Convert to fraction form
    345,246/529,943 = 529,943/x
  3. Step 3: Cross multiply
    345,246x = 529,943 × 529,943
  4. Step 4: Simplify right side
    345,246x = 280,839,583,249
  5. Step 5: Solve for x
    x = 280,839,583,249/345,246
  6. Step 6: Final answer
    x = 813,447.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.