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Finding the Third Proportional to 351,016.50 and 684,537

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Solution

The third proportional to 351,016.50 and 684,537 is: 1,334,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,016.50 : 684,537 = 684,537 : x
  2. Step 2: Convert to fraction form
    351,016.50/684,537 = 684,537/x
  3. Step 3: Cross multiply
    351,016.50x = 684,537 × 684,537
  4. Step 4: Simplify right side
    351,016.50x = 468,590,904,369
  5. Step 5: Solve for x
    x = 468,590,904,369/351,016.50
  6. Step 6: Final answer
    x = 1,334,954.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.