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Finding the Third Proportional to 450,010 and 657,244

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Solution

The third proportional to 450,010 and 657,244 is: 959,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,010 : 657,244 = 657,244 : x
  2. Step 2: Convert to fraction form
    450,010/657,244 = 657,244/x
  3. Step 3: Cross multiply
    450,010x = 657,244 × 657,244
  4. Step 4: Simplify right side
    450,010x = 431,969,675,536
  5. Step 5: Solve for x
    x = 431,969,675,536/450,010
  6. Step 6: Final answer
    x = 959,911.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.