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Finding the Third Proportional to 346,224 and 547,768

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Solution

The third proportional to 346,224 and 547,768 is: 866,634.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,224 : 547,768 = 547,768 : x
  2. Step 2: Convert to fraction form
    346,224/547,768 = 547,768/x
  3. Step 3: Cross multiply
    346,224x = 547,768 × 547,768
  4. Step 4: Simplify right side
    346,224x = 300,049,781,824
  5. Step 5: Solve for x
    x = 300,049,781,824/346,224
  6. Step 6: Final answer
    x = 866,634.84

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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.