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Finding the Third Proportional to 414,445 and 608,068

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Solution

The third proportional to 414,445 and 608,068 is: 892,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,445 : 608,068 = 608,068 : x
  2. Step 2: Convert to fraction form
    414,445/608,068 = 608,068/x
  3. Step 3: Cross multiply
    414,445x = 608,068 × 608,068
  4. Step 4: Simplify right side
    414,445x = 369,746,692,624
  5. Step 5: Solve for x
    x = 369,746,692,624/414,445
  6. Step 6: Final answer
    x = 892,149.00

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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.