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Finding the Third Proportional to 245,532 and 537,908

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Solution

The third proportional to 245,532 and 537,908 is: 1,178,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,532 : 537,908 = 537,908 : x
  2. Step 2: Convert to fraction form
    245,532/537,908 = 537,908/x
  3. Step 3: Cross multiply
    245,532x = 537,908 × 537,908
  4. Step 4: Simplify right side
    245,532x = 289,345,016,464
  5. Step 5: Solve for x
    x = 289,345,016,464/245,532
  6. Step 6: Final answer
    x = 1,178,441.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.