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Finding the Third Proportional to 535,710 and 727,563

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Solution

The third proportional to 535,710 and 727,563 is: 988,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,710 : 727,563 = 727,563 : x
  2. Step 2: Convert to fraction form
    535,710/727,563 = 727,563/x
  3. Step 3: Cross multiply
    535,710x = 727,563 × 727,563
  4. Step 4: Simplify right side
    535,710x = 529,347,918,969
  5. Step 5: Solve for x
    x = 529,347,918,969/535,710
  6. Step 6: Final answer
    x = 988,124.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.