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Finding the Third Proportional to 575,239.50 and 1,254,300.75

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Solution

The third proportional to 575,239.50 and 1,254,300.75 is: 2,734,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,239.50 : 1,254,300.75 = 1,254,300.75 : x
  2. Step 2: Convert to fraction form
    575,239.50/1,254,300.75 = 1,254,300.75/x
  3. Step 3: Cross multiply
    575,239.50x = 1,254,300.75 × 1,254,300.75
  4. Step 4: Simplify right side
    575,239.50x = 1,573,270,371,450.56
  5. Step 5: Solve for x
    x = 1,573,270,371,450.56/575,239.50
  6. Step 6: Final answer
    x = 2,734,983.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.