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Finding the Third Proportional to 291,232 and 439,521

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Solution

The third proportional to 291,232 and 439,521 is: 663,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,232 : 439,521 = 439,521 : x
  2. Step 2: Convert to fraction form
    291,232/439,521 = 439,521/x
  3. Step 3: Cross multiply
    291,232x = 439,521 × 439,521
  4. Step 4: Simplify right side
    291,232x = 193,178,709,441
  5. Step 5: Solve for x
    x = 193,178,709,441/291,232
  6. Step 6: Final answer
    x = 663,315.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.