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Finding the Third Proportional to 288,969 and 460,208

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Solution

The third proportional to 288,969 and 460,208 is: 732,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,969 : 460,208 = 460,208 : x
  2. Step 2: Convert to fraction form
    288,969/460,208 = 460,208/x
  3. Step 3: Cross multiply
    288,969x = 460,208 × 460,208
  4. Step 4: Simplify right side
    288,969x = 211,791,403,264
  5. Step 5: Solve for x
    x = 211,791,403,264/288,969
  6. Step 6: Final answer
    x = 732,920.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.