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Finding the Third Proportional to 421,610 and 616,641

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Solution

The third proportional to 421,610 and 616,641 is: 901,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,610 : 616,641 = 616,641 : x
  2. Step 2: Convert to fraction form
    421,610/616,641 = 616,641/x
  3. Step 3: Cross multiply
    421,610x = 616,641 × 616,641
  4. Step 4: Simplify right side
    421,610x = 380,246,122,881
  5. Step 5: Solve for x
    x = 380,246,122,881/421,610
  6. Step 6: Final answer
    x = 901,890.66

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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.