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Finding the Third Proportional to 314,252 and 683,146

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Solution

The third proportional to 314,252 and 683,146 is: 1,485,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,252 : 683,146 = 683,146 : x
  2. Step 2: Convert to fraction form
    314,252/683,146 = 683,146/x
  3. Step 3: Cross multiply
    314,252x = 683,146 × 683,146
  4. Step 4: Simplify right side
    314,252x = 466,688,457,316
  5. Step 5: Solve for x
    x = 466,688,457,316/314,252
  6. Step 6: Final answer
    x = 1,485,077.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.