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Finding the Third Proportional to 261,549 and 554,485

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Solution

The third proportional to 261,549 and 554,485 is: 1,175,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,549 : 554,485 = 554,485 : x
  2. Step 2: Convert to fraction form
    261,549/554,485 = 554,485/x
  3. Step 3: Cross multiply
    261,549x = 554,485 × 554,485
  4. Step 4: Simplify right side
    261,549x = 307,453,615,225
  5. Step 5: Solve for x
    x = 307,453,615,225/261,549
  6. Step 6: Final answer
    x = 1,175,510.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.