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Finding the Third Proportional to 346,244 and 547,796

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Solution

The third proportional to 346,244 and 547,796 is: 866,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,244 : 547,796 = 547,796 : x
  2. Step 2: Convert to fraction form
    346,244/547,796 = 547,796/x
  3. Step 3: Cross multiply
    346,244x = 547,796 × 547,796
  4. Step 4: Simplify right side
    346,244x = 300,080,457,616
  5. Step 5: Solve for x
    x = 300,080,457,616/346,244
  6. Step 6: Final answer
    x = 866,673.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.