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Finding the Third Proportional to 295,284 and 693,226

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Solution

The third proportional to 295,284 and 693,226 is: 1,627,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,284 : 693,226 = 693,226 : x
  2. Step 2: Convert to fraction form
    295,284/693,226 = 693,226/x
  3. Step 3: Cross multiply
    295,284x = 693,226 × 693,226
  4. Step 4: Simplify right side
    295,284x = 480,562,287,076
  5. Step 5: Solve for x
    x = 480,562,287,076/295,284
  6. Step 6: Final answer
    x = 1,627,457.93

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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.