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Finding the Third Proportional to 346,221 and 547,758

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Solution

The third proportional to 346,221 and 547,758 is: 866,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,221 : 547,758 = 547,758 : x
  2. Step 2: Convert to fraction form
    346,221/547,758 = 547,758/x
  3. Step 3: Cross multiply
    346,221x = 547,758 × 547,758
  4. Step 4: Simplify right side
    346,221x = 300,038,826,564
  5. Step 5: Solve for x
    x = 300,038,826,564/346,221
  6. Step 6: Final answer
    x = 866,610.71

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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.