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Finding the Third Proportional to 293,664 and 446,646

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Solution

The third proportional to 293,664 and 446,646 is: 679,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,664 : 446,646 = 446,646 : x
  2. Step 2: Convert to fraction form
    293,664/446,646 = 446,646/x
  3. Step 3: Cross multiply
    293,664x = 446,646 × 446,646
  4. Step 4: Simplify right side
    293,664x = 199,492,649,316
  5. Step 5: Solve for x
    x = 199,492,649,316/293,664
  6. Step 6: Final answer
    x = 679,322.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.