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Finding the Third Proportional to 293,858 and 436,465

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Solution

The third proportional to 293,858 and 436,465 is: 648,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,858 : 436,465 = 436,465 : x
  2. Step 2: Convert to fraction form
    293,858/436,465 = 436,465/x
  3. Step 3: Cross multiply
    293,858x = 436,465 × 436,465
  4. Step 4: Simplify right side
    293,858x = 190,501,696,225
  5. Step 5: Solve for x
    x = 190,501,696,225/293,858
  6. Step 6: Final answer
    x = 648,278.07

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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.