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Finding the Third Proportional to 306,850 and 656,347

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Solution

The third proportional to 306,850 and 656,347 is: 1,403,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,850 : 656,347 = 656,347 : x
  2. Step 2: Convert to fraction form
    306,850/656,347 = 656,347/x
  3. Step 3: Cross multiply
    306,850x = 656,347 × 656,347
  4. Step 4: Simplify right side
    306,850x = 430,791,384,409
  5. Step 5: Solve for x
    x = 430,791,384,409/306,850
  6. Step 6: Final answer
    x = 1,403,915.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.