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Finding the Third Proportional to 288,405 and 632,970

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Solution

The third proportional to 288,405 and 632,970 is: 1,389,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,405 : 632,970 = 632,970 : x
  2. Step 2: Convert to fraction form
    288,405/632,970 = 632,970/x
  3. Step 3: Cross multiply
    288,405x = 632,970 × 632,970
  4. Step 4: Simplify right side
    288,405x = 400,651,020,900
  5. Step 5: Solve for x
    x = 400,651,020,900/288,405
  6. Step 6: Final answer
    x = 1,389,195.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.