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Finding the Third Proportional to 292,208 and 628,808

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Solution

The third proportional to 292,208 and 628,808 is: 1,353,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,208 : 628,808 = 628,808 : x
  2. Step 2: Convert to fraction form
    292,208/628,808 = 628,808/x
  3. Step 3: Cross multiply
    292,208x = 628,808 × 628,808
  4. Step 4: Simplify right side
    292,208x = 395,399,500,864
  5. Step 5: Solve for x
    x = 395,399,500,864/292,208
  6. Step 6: Final answer
    x = 1,353,144.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.