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Finding the Third Proportional to 304,582 and 654,524

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Solution

The third proportional to 304,582 and 654,524 is: 1,406,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,582 : 654,524 = 654,524 : x
  2. Step 2: Convert to fraction form
    304,582/654,524 = 654,524/x
  3. Step 3: Cross multiply
    304,582x = 654,524 × 654,524
  4. Step 4: Simplify right side
    304,582x = 428,401,666,576
  5. Step 5: Solve for x
    x = 428,401,666,576/304,582
  6. Step 6: Final answer
    x = 1,406,523.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.