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Finding the Third Proportional to 332,585 and 591,297

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Solution

The third proportional to 332,585 and 591,297 is: 1,051,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,585 : 591,297 = 591,297 : x
  2. Step 2: Convert to fraction form
    332,585/591,297 = 591,297/x
  3. Step 3: Cross multiply
    332,585x = 591,297 × 591,297
  4. Step 4: Simplify right side
    332,585x = 349,632,142,209
  5. Step 5: Solve for x
    x = 349,632,142,209/332,585
  6. Step 6: Final answer
    x = 1,051,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.