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Finding the Third Proportional to 319,048 and 696,050

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Solution

The third proportional to 319,048 and 696,050 is: 1,518,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,048 : 696,050 = 696,050 : x
  2. Step 2: Convert to fraction form
    319,048/696,050 = 696,050/x
  3. Step 3: Cross multiply
    319,048x = 696,050 × 696,050
  4. Step 4: Simplify right side
    319,048x = 484,485,602,500
  5. Step 5: Solve for x
    x = 484,485,602,500/319,048
  6. Step 6: Final answer
    x = 1,518,535.15

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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.