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Finding the Third Proportional to 253,444 and 589,323

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Solution

The third proportional to 253,444 and 589,323 is: 1,370,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,444 : 589,323 = 589,323 : x
  2. Step 2: Convert to fraction form
    253,444/589,323 = 589,323/x
  3. Step 3: Cross multiply
    253,444x = 589,323 × 589,323
  4. Step 4: Simplify right side
    253,444x = 347,301,598,329
  5. Step 5: Solve for x
    x = 347,301,598,329/253,444
  6. Step 6: Final answer
    x = 1,370,328.74

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.