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Finding the Third Proportional to 319,058 and 696,072

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Solution

The third proportional to 319,058 and 696,072 is: 1,518,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,058 : 696,072 = 696,072 : x
  2. Step 2: Convert to fraction form
    319,058/696,072 = 696,072/x
  3. Step 3: Cross multiply
    319,058x = 696,072 × 696,072
  4. Step 4: Simplify right side
    319,058x = 484,516,229,184
  5. Step 5: Solve for x
    x = 484,516,229,184/319,058
  6. Step 6: Final answer
    x = 1,518,583.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.