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Finding the Third Proportional to 467,712 and 684,072

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Solution

The third proportional to 467,712 and 684,072 is: 1,000,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,712 : 684,072 = 684,072 : x
  2. Step 2: Convert to fraction form
    467,712/684,072 = 684,072/x
  3. Step 3: Cross multiply
    467,712x = 684,072 × 684,072
  4. Step 4: Simplify right side
    467,712x = 467,954,501,184
  5. Step 5: Solve for x
    x = 467,954,501,184/467,712
  6. Step 6: Final answer
    x = 1,000,518.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.