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Finding the Third Proportional to 245,586 and 537,924

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Solution

The third proportional to 245,586 and 537,924 is: 1,178,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,586 : 537,924 = 537,924 : x
  2. Step 2: Convert to fraction form
    245,586/537,924 = 537,924/x
  3. Step 3: Cross multiply
    245,586x = 537,924 × 537,924
  4. Step 4: Simplify right side
    245,586x = 289,362,229,776
  5. Step 5: Solve for x
    x = 289,362,229,776/245,586
  6. Step 6: Final answer
    x = 1,178,252.14

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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.