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Finding the Third Proportional to 461,000 and 621,462

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Solution

The third proportional to 461,000 and 621,462 is: 837,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,000 : 621,462 = 621,462 : x
  2. Step 2: Convert to fraction form
    461,000/621,462 = 621,462/x
  3. Step 3: Cross multiply
    461,000x = 621,462 × 621,462
  4. Step 4: Simplify right side
    461,000x = 386,215,017,444
  5. Step 5: Solve for x
    x = 386,215,017,444/461,000
  6. Step 6: Final answer
    x = 837,776.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.