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Finding the Third Proportional to 535,327 and 788,201

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Solution

The third proportional to 535,327 and 788,201 is: 1,160,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,327 : 788,201 = 788,201 : x
  2. Step 2: Convert to fraction form
    535,327/788,201 = 788,201/x
  3. Step 3: Cross multiply
    535,327x = 788,201 × 788,201
  4. Step 4: Simplify right side
    535,327x = 621,260,816,401
  5. Step 5: Solve for x
    x = 621,260,816,401/535,327
  6. Step 6: Final answer
    x = 1,160,525.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.