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Finding the Third Proportional to 656,197 and 938,361

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Solution

The third proportional to 656,197 and 938,361 is: 1,341,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,197 : 938,361 = 938,361 : x
  2. Step 2: Convert to fraction form
    656,197/938,361 = 938,361/x
  3. Step 3: Cross multiply
    656,197x = 938,361 × 938,361
  4. Step 4: Simplify right side
    656,197x = 880,521,366,321
  5. Step 5: Solve for x
    x = 880,521,366,321/656,197
  6. Step 6: Final answer
    x = 1,341,855.21

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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.