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Finding the Third Proportional to 295,604 and 633,208

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Solution

The third proportional to 295,604 and 633,208 is: 1,356,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,604 : 633,208 = 633,208 : x
  2. Step 2: Convert to fraction form
    295,604/633,208 = 633,208/x
  3. Step 3: Cross multiply
    295,604x = 633,208 × 633,208
  4. Step 4: Simplify right side
    295,604x = 400,952,371,264
  5. Step 5: Solve for x
    x = 400,952,371,264/295,604
  6. Step 6: Final answer
    x = 1,356,383.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.