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Finding the Third Proportional to 319,248 and 698,328

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Solution

The third proportional to 319,248 and 698,328 is: 1,527,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,248 : 698,328 = 698,328 : x
  2. Step 2: Convert to fraction form
    319,248/698,328 = 698,328/x
  3. Step 3: Cross multiply
    319,248x = 698,328 × 698,328
  4. Step 4: Simplify right side
    319,248x = 487,661,995,584
  5. Step 5: Solve for x
    x = 487,661,995,584/319,248
  6. Step 6: Final answer
    x = 1,527,533.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.