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Finding the Third Proportional to 252,664 and 369,570

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Solution

The third proportional to 252,664 and 369,570 is: 540,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,664 : 369,570 = 369,570 : x
  2. Step 2: Convert to fraction form
    252,664/369,570 = 369,570/x
  3. Step 3: Cross multiply
    252,664x = 369,570 × 369,570
  4. Step 4: Simplify right side
    252,664x = 136,581,984,900
  5. Step 5: Solve for x
    x = 136,581,984,900/252,664
  6. Step 6: Final answer
    x = 540,567.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.