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Finding the Third Proportional to 255,611 and 537,662

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Solution

The third proportional to 255,611 and 537,662 is: 1,130,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,611 : 537,662 = 537,662 : x
  2. Step 2: Convert to fraction form
    255,611/537,662 = 537,662/x
  3. Step 3: Cross multiply
    255,611x = 537,662 × 537,662
  4. Step 4: Simplify right side
    255,611x = 289,080,426,244
  5. Step 5: Solve for x
    x = 289,080,426,244/255,611
  6. Step 6: Final answer
    x = 1,130,938.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.