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Finding the Third Proportional to 593,261.25 and 1,228,580.63

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Solution

The third proportional to 593,261.25 and 1,228,580.63 is: 2,544,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,261.25 : 1,228,580.63 = 1,228,580.63 : x
  2. Step 2: Convert to fraction form
    593,261.25/1,228,580.63 = 1,228,580.63/x
  3. Step 3: Cross multiply
    593,261.25x = 1,228,580.63 × 1,228,580.63
  4. Step 4: Simplify right side
    593,261.25x = 1,509,410,352,125.39
  5. Step 5: Solve for x
    x = 1,509,410,352,125.39/593,261.25
  6. Step 6: Final answer
    x = 2,544,259.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.