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Finding the Third Proportional to 288,441 and 626,636.25

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Solution

The third proportional to 288,441 and 626,636.25 is: 1,361,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,441 : 626,636.25 = 626,636.25 : x
  2. Step 2: Convert to fraction form
    288,441/626,636.25 = 626,636.25/x
  3. Step 3: Cross multiply
    288,441x = 626,636.25 × 626,636.25
  4. Step 4: Simplify right side
    288,441x = 392,672,989,814.06
  5. Step 5: Solve for x
    x = 392,672,989,814.06/288,441
  6. Step 6: Final answer
    x = 1,361,363.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.