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Finding the Third Proportional to 344,700 and 496,470

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Solution

The third proportional to 344,700 and 496,470 is: 715,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,700 : 496,470 = 496,470 : x
  2. Step 2: Convert to fraction form
    344,700/496,470 = 496,470/x
  3. Step 3: Cross multiply
    344,700x = 496,470 × 496,470
  4. Step 4: Simplify right side
    344,700x = 246,482,460,900
  5. Step 5: Solve for x
    x = 246,482,460,900/344,700
  6. Step 6: Final answer
    x = 715,063.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.