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Finding the Third Proportional to 316,859 and 683,487

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Solution

The third proportional to 316,859 and 683,487 is: 1,474,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,859 : 683,487 = 683,487 : x
  2. Step 2: Convert to fraction form
    316,859/683,487 = 683,487/x
  3. Step 3: Cross multiply
    316,859x = 683,487 × 683,487
  4. Step 4: Simplify right side
    316,859x = 467,154,479,169
  5. Step 5: Solve for x
    x = 467,154,479,169/316,859
  6. Step 6: Final answer
    x = 1,474,329.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.