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Finding the Third Proportional to 317,048 and 702,457

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Solution

The third proportional to 317,048 and 702,457 is: 1,556,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,048 : 702,457 = 702,457 : x
  2. Step 2: Convert to fraction form
    317,048/702,457 = 702,457/x
  3. Step 3: Cross multiply
    317,048x = 702,457 × 702,457
  4. Step 4: Simplify right side
    317,048x = 493,445,836,849
  5. Step 5: Solve for x
    x = 493,445,836,849/317,048
  6. Step 6: Final answer
    x = 1,556,375.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.