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Finding the Third Proportional to 346,842 and 517,914

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Solution

The third proportional to 346,842 and 517,914 is: 773,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,842 : 517,914 = 517,914 : x
  2. Step 2: Convert to fraction form
    346,842/517,914 = 517,914/x
  3. Step 3: Cross multiply
    346,842x = 517,914 × 517,914
  4. Step 4: Simplify right side
    346,842x = 268,234,911,396
  5. Step 5: Solve for x
    x = 268,234,911,396/346,842
  6. Step 6: Final answer
    x = 773,363.41

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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.