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Finding the Third Proportional to 345,650 and 536,457

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Solution

The third proportional to 345,650 and 536,457 is: 832,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,650 : 536,457 = 536,457 : x
  2. Step 2: Convert to fraction form
    345,650/536,457 = 536,457/x
  3. Step 3: Cross multiply
    345,650x = 536,457 × 536,457
  4. Step 4: Simplify right side
    345,650x = 287,786,112,849
  5. Step 5: Solve for x
    x = 287,786,112,849/345,650
  6. Step 6: Final answer
    x = 832,593.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.