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Finding the Third Proportional to 295,280 and 693,216

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Solution

The third proportional to 295,280 and 693,216 is: 1,627,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,280 : 693,216 = 693,216 : x
  2. Step 2: Convert to fraction form
    295,280/693,216 = 693,216/x
  3. Step 3: Cross multiply
    295,280x = 693,216 × 693,216
  4. Step 4: Simplify right side
    295,280x = 480,548,422,656
  5. Step 5: Solve for x
    x = 480,548,422,656/295,280
  6. Step 6: Final answer
    x = 1,627,433.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.