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Finding the Third Proportional to 658,282 and 996,658

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Solution

The third proportional to 658,282 and 996,658 is: 1,508,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,282 : 996,658 = 996,658 : x
  2. Step 2: Convert to fraction form
    658,282/996,658 = 996,658/x
  3. Step 3: Cross multiply
    658,282x = 996,658 × 996,658
  4. Step 4: Simplify right side
    658,282x = 993,327,168,964
  5. Step 5: Solve for x
    x = 993,327,168,964/658,282
  6. Step 6: Final answer
    x = 1,508,969.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.