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Finding the Third Proportional to 446,937 and 661,710

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Solution

The third proportional to 446,937 and 661,710 is: 979,690.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,937 : 661,710 = 661,710 : x
  2. Step 2: Convert to fraction form
    446,937/661,710 = 661,710/x
  3. Step 3: Cross multiply
    446,937x = 661,710 × 661,710
  4. Step 4: Simplify right side
    446,937x = 437,860,124,100
  5. Step 5: Solve for x
    x = 437,860,124,100/446,937
  6. Step 6: Final answer
    x = 979,690.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.