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Finding the Third Proportional to 525,327 and 803,241

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Solution

The third proportional to 525,327 and 803,241 is: 1,228,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,327 : 803,241 = 803,241 : x
  2. Step 2: Convert to fraction form
    525,327/803,241 = 803,241/x
  3. Step 3: Cross multiply
    525,327x = 803,241 × 803,241
  4. Step 4: Simplify right side
    525,327x = 645,196,104,081
  5. Step 5: Solve for x
    x = 645,196,104,081/525,327
  6. Step 6: Final answer
    x = 1,228,179.98

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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.