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Finding the Third Proportional to 346,235 and 517,967

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Solution

The third proportional to 346,235 and 517,967 is: 774,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,235 : 517,967 = 517,967 : x
  2. Step 2: Convert to fraction form
    346,235/517,967 = 517,967/x
  3. Step 3: Cross multiply
    346,235x = 517,967 × 517,967
  4. Step 4: Simplify right side
    346,235x = 268,289,813,089
  5. Step 5: Solve for x
    x = 268,289,813,089/346,235
  6. Step 6: Final answer
    x = 774,877.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.