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Finding the Third Proportional to 293,870 and 436,484

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Solution

The third proportional to 293,870 and 436,484 is: 648,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,870 : 436,484 = 436,484 : x
  2. Step 2: Convert to fraction form
    293,870/436,484 = 436,484/x
  3. Step 3: Cross multiply
    293,870x = 436,484 × 436,484
  4. Step 4: Simplify right side
    293,870x = 190,518,282,256
  5. Step 5: Solve for x
    x = 190,518,282,256/293,870
  6. Step 6: Final answer
    x = 648,308.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.