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Finding the Third Proportional to 272,470 and 404,816

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Solution

The third proportional to 272,470 and 404,816 is: 601,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,470 : 404,816 = 404,816 : x
  2. Step 2: Convert to fraction form
    272,470/404,816 = 404,816/x
  3. Step 3: Cross multiply
    272,470x = 404,816 × 404,816
  4. Step 4: Simplify right side
    272,470x = 163,875,993,856
  5. Step 5: Solve for x
    x = 163,875,993,856/272,470
  6. Step 6: Final answer
    x = 601,446.01

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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.