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Finding the Third Proportional to 443,446 and 685,117

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Solution

The third proportional to 443,446 and 685,117 is: 1,058,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,446 : 685,117 = 685,117 : x
  2. Step 2: Convert to fraction form
    443,446/685,117 = 685,117/x
  3. Step 3: Cross multiply
    443,446x = 685,117 × 685,117
  4. Step 4: Simplify right side
    443,446x = 469,385,303,689
  5. Step 5: Solve for x
    x = 469,385,303,689/443,446
  6. Step 6: Final answer
    x = 1,058,494.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.