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Finding the Third Proportional to 593,548.50 and 920,439.75

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Solution

The third proportional to 593,548.50 and 920,439.75 is: 1,427,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,548.50 : 920,439.75 = 920,439.75 : x
  2. Step 2: Convert to fraction form
    593,548.50/920,439.75 = 920,439.75/x
  3. Step 3: Cross multiply
    593,548.50x = 920,439.75 × 920,439.75
  4. Step 4: Simplify right side
    593,548.50x = 847,209,333,380.06
  5. Step 5: Solve for x
    x = 847,209,333,380.06/593,548.50
  6. Step 6: Final answer
    x = 1,427,363.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.