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Finding the Third Proportional to 358,743 and 787,457

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Solution

The third proportional to 358,743 and 787,457 is: 1,728,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,743 : 787,457 = 787,457 : x
  2. Step 2: Convert to fraction form
    358,743/787,457 = 787,457/x
  3. Step 3: Cross multiply
    358,743x = 787,457 × 787,457
  4. Step 4: Simplify right side
    358,743x = 620,088,526,849
  5. Step 5: Solve for x
    x = 620,088,526,849/358,743
  6. Step 6: Final answer
    x = 1,728,503.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.