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Finding the Third Proportional to 340,219.50 and 500,487

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Solution

The third proportional to 340,219.50 and 500,487 is: 736,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,219.50 : 500,487 = 500,487 : x
  2. Step 2: Convert to fraction form
    340,219.50/500,487 = 500,487/x
  3. Step 3: Cross multiply
    340,219.50x = 500,487 × 500,487
  4. Step 4: Simplify right side
    340,219.50x = 250,487,237,169
  5. Step 5: Solve for x
    x = 250,487,237,169/340,219.50
  6. Step 6: Final answer
    x = 736,251.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.