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Finding the Third Proportional to 431,576 and 653,361

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Solution

The third proportional to 431,576 and 653,361 is: 989,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,576 : 653,361 = 653,361 : x
  2. Step 2: Convert to fraction form
    431,576/653,361 = 653,361/x
  3. Step 3: Cross multiply
    431,576x = 653,361 × 653,361
  4. Step 4: Simplify right side
    431,576x = 426,880,596,321
  5. Step 5: Solve for x
    x = 426,880,596,321/431,576
  6. Step 6: Final answer
    x = 989,120.33

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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.