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Finding the Third Proportional to 319,056 and 696,069

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Solution

The third proportional to 319,056 and 696,069 is: 1,518,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,056 : 696,069 = 696,069 : x
  2. Step 2: Convert to fraction form
    319,056/696,069 = 696,069/x
  3. Step 3: Cross multiply
    319,056x = 696,069 × 696,069
  4. Step 4: Simplify right side
    319,056x = 484,512,052,761
  5. Step 5: Solve for x
    x = 484,512,052,761/319,056
  6. Step 6: Final answer
    x = 1,518,579.98

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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.