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Finding the Third Proportional to 414,446 and 608,070

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Solution

The third proportional to 414,446 and 608,070 is: 892,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,446 : 608,070 = 608,070 : x
  2. Step 2: Convert to fraction form
    414,446/608,070 = 608,070/x
  3. Step 3: Cross multiply
    414,446x = 608,070 × 608,070
  4. Step 4: Simplify right side
    414,446x = 369,749,124,900
  5. Step 5: Solve for x
    x = 369,749,124,900/414,446
  6. Step 6: Final answer
    x = 892,152.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.