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Finding the Third Proportional to 293,860 and 436,470

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Solution

The third proportional to 293,860 and 436,470 is: 648,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,860 : 436,470 = 436,470 : x
  2. Step 2: Convert to fraction form
    293,860/436,470 = 436,470/x
  3. Step 3: Cross multiply
    293,860x = 436,470 × 436,470
  4. Step 4: Simplify right side
    293,860x = 190,506,060,900
  5. Step 5: Solve for x
    x = 190,506,060,900/293,860
  6. Step 6: Final answer
    x = 648,288.51

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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.