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Finding the Third Proportional to 656,214 and 938,385

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Solution

The third proportional to 656,214 and 938,385 is: 1,341,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,214 : 938,385 = 938,385 : x
  2. Step 2: Convert to fraction form
    656,214/938,385 = 938,385/x
  3. Step 3: Cross multiply
    656,214x = 938,385 × 938,385
  4. Step 4: Simplify right side
    656,214x = 880,566,408,225
  5. Step 5: Solve for x
    x = 880,566,408,225/656,214
  6. Step 6: Final answer
    x = 1,341,889.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.