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Finding the Third Proportional to 570,220 and 797,201

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Solution

The third proportional to 570,220 and 797,201 is: 1,114,533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,220 : 797,201 = 797,201 : x
  2. Step 2: Convert to fraction form
    570,220/797,201 = 797,201/x
  3. Step 3: Cross multiply
    570,220x = 797,201 × 797,201
  4. Step 4: Simplify right side
    570,220x = 635,529,434,401
  5. Step 5: Solve for x
    x = 635,529,434,401/570,220
  6. Step 6: Final answer
    x = 1,114,533.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.