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Finding the Third Proportional to 572,800 and 841,662

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Solution

The third proportional to 572,800 and 841,662 is: 1,236,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,800 : 841,662 = 841,662 : x
  2. Step 2: Convert to fraction form
    572,800/841,662 = 841,662/x
  3. Step 3: Cross multiply
    572,800x = 841,662 × 841,662
  4. Step 4: Simplify right side
    572,800x = 708,394,922,244
  5. Step 5: Solve for x
    x = 708,394,922,244/572,800
  6. Step 6: Final answer
    x = 1,236,722.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.