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Finding the Third Proportional to 252,657 and 369,562

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Solution

The third proportional to 252,657 and 369,562 is: 540,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,657 : 369,562 = 369,562 : x
  2. Step 2: Convert to fraction form
    252,657/369,562 = 369,562/x
  3. Step 3: Cross multiply
    252,657x = 369,562 × 369,562
  4. Step 4: Simplify right side
    252,657x = 136,576,071,844
  5. Step 5: Solve for x
    x = 136,576,071,844/252,657
  6. Step 6: Final answer
    x = 540,559.22

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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.