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Finding the Third Proportional to 348,172.50 and 761,955

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Solution

The third proportional to 348,172.50 and 761,955 is: 1,667,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,172.50 : 761,955 = 761,955 : x
  2. Step 2: Convert to fraction form
    348,172.50/761,955 = 761,955/x
  3. Step 3: Cross multiply
    348,172.50x = 761,955 × 761,955
  4. Step 4: Simplify right side
    348,172.50x = 580,575,422,025
  5. Step 5: Solve for x
    x = 580,575,422,025/348,172.50
  6. Step 6: Final answer
    x = 1,667,493.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.