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Finding the Third Proportional to 262,772.50 and 574,614

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Solution

The third proportional to 262,772.50 and 574,614 is: 1,256,528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,772.50 : 574,614 = 574,614 : x
  2. Step 2: Convert to fraction form
    262,772.50/574,614 = 574,614/x
  3. Step 3: Cross multiply
    262,772.50x = 574,614 × 574,614
  4. Step 4: Simplify right side
    262,772.50x = 330,181,248,996
  5. Step 5: Solve for x
    x = 330,181,248,996/262,772.50
  6. Step 6: Final answer
    x = 1,256,528.93

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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.