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Finding the Third Proportional to 523,551 and 800,548.50

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Solution

The third proportional to 523,551 and 800,548.50 is: 1,224,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,551 : 800,548.50 = 800,548.50 : x
  2. Step 2: Convert to fraction form
    523,551/800,548.50 = 800,548.50/x
  3. Step 3: Cross multiply
    523,551x = 800,548.50 × 800,548.50
  4. Step 4: Simplify right side
    523,551x = 640,877,900,852.25
  5. Step 5: Solve for x
    x = 640,877,900,852.25/523,551
  6. Step 6: Final answer
    x = 1,224,098.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.