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Finding the Third Proportional to 261,738 and 402,570

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Solution

The third proportional to 261,738 and 402,570 is: 619,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,738 : 402,570 = 402,570 : x
  2. Step 2: Convert to fraction form
    261,738/402,570 = 402,570/x
  3. Step 3: Cross multiply
    261,738x = 402,570 × 402,570
  4. Step 4: Simplify right side
    261,738x = 162,062,604,900
  5. Step 5: Solve for x
    x = 162,062,604,900/261,738
  6. Step 6: Final answer
    x = 619,178.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.