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Finding the Third Proportional to 565,654 and 818,024

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Solution

The third proportional to 565,654 and 818,024 is: 1,182,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,654 : 818,024 = 818,024 : x
  2. Step 2: Convert to fraction form
    565,654/818,024 = 818,024/x
  3. Step 3: Cross multiply
    565,654x = 818,024 × 818,024
  4. Step 4: Simplify right side
    565,654x = 669,163,264,576
  5. Step 5: Solve for x
    x = 669,163,264,576/565,654
  6. Step 6: Final answer
    x = 1,182,990.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.