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Finding the Third Proportional to 208,323 and 433,003.50

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Solution

The third proportional to 208,323 and 433,003.50 is: 900,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,323 : 433,003.50 = 433,003.50 : x
  2. Step 2: Convert to fraction form
    208,323/433,003.50 = 433,003.50/x
  3. Step 3: Cross multiply
    208,323x = 433,003.50 × 433,003.50
  4. Step 4: Simplify right side
    208,323x = 187,492,031,012.25
  5. Step 5: Solve for x
    x = 187,492,031,012.25/208,323
  6. Step 6: Final answer
    x = 900,006.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.