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Finding the Third Proportional to 461,003 and 621,466

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Solution

The third proportional to 461,003 and 621,466 is: 837,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,003 : 621,466 = 621,466 : x
  2. Step 2: Convert to fraction form
    461,003/621,466 = 621,466/x
  3. Step 3: Cross multiply
    461,003x = 621,466 × 621,466
  4. Step 4: Simplify right side
    461,003x = 386,219,989,156
  5. Step 5: Solve for x
    x = 386,219,989,156/461,003
  6. Step 6: Final answer
    x = 837,781.94

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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.