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Finding the Third Proportional to 656,188 and 938,347

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Solution

The third proportional to 656,188 and 938,347 is: 1,341,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,188 : 938,347 = 938,347 : x
  2. Step 2: Convert to fraction form
    656,188/938,347 = 938,347/x
  3. Step 3: Cross multiply
    656,188x = 938,347 × 938,347
  4. Step 4: Simplify right side
    656,188x = 880,495,092,409
  5. Step 5: Solve for x
    x = 880,495,092,409/656,188
  6. Step 6: Final answer
    x = 1,341,833.58

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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.