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Finding the Third Proportional to 343,457 and 746,055

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Solution

The third proportional to 343,457 and 746,055 is: 1,620,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,457 : 746,055 = 746,055 : x
  2. Step 2: Convert to fraction form
    343,457/746,055 = 746,055/x
  3. Step 3: Cross multiply
    343,457x = 746,055 × 746,055
  4. Step 4: Simplify right side
    343,457x = 556,598,063,025
  5. Step 5: Solve for x
    x = 556,598,063,025/343,457
  6. Step 6: Final answer
    x = 1,620,575.68

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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.