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Finding the Third Proportional to 473,496.75 and 1,035,567

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Solution

The third proportional to 473,496.75 and 1,035,567 is: 2,264,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,496.75 : 1,035,567 = 1,035,567 : x
  2. Step 2: Convert to fraction form
    473,496.75/1,035,567 = 1,035,567/x
  3. Step 3: Cross multiply
    473,496.75x = 1,035,567 × 1,035,567
  4. Step 4: Simplify right side
    473,496.75x = 1,072,399,011,489
  5. Step 5: Solve for x
    x = 1,072,399,011,489/473,496.75
  6. Step 6: Final answer
    x = 2,264,849.78

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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.