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Finding the Third Proportional to 341,496.75 and 501,172.50

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Solution

The third proportional to 341,496.75 and 501,172.50 is: 735,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,496.75 : 501,172.50 = 501,172.50 : x
  2. Step 2: Convert to fraction form
    341,496.75/501,172.50 = 501,172.50/x
  3. Step 3: Cross multiply
    341,496.75x = 501,172.50 × 501,172.50
  4. Step 4: Simplify right side
    341,496.75x = 251,173,874,756.25
  5. Step 5: Solve for x
    x = 251,173,874,756.25/341,496.75
  6. Step 6: Final answer
    x = 735,508.83

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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.