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Finding the Third Proportional to 656,198 and 938,362

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Solution

The third proportional to 656,198 and 938,362 is: 1,341,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,198 : 938,362 = 938,362 : x
  2. Step 2: Convert to fraction form
    656,198/938,362 = 938,362/x
  3. Step 3: Cross multiply
    656,198x = 938,362 × 938,362
  4. Step 4: Simplify right side
    656,198x = 880,523,243,044
  5. Step 5: Solve for x
    x = 880,523,243,044/656,198
  6. Step 6: Final answer
    x = 1,341,856.03

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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.