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Finding the Third Proportional to 276,945 and 602,490

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Solution

The third proportional to 276,945 and 602,490 is: 1,310,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,945 : 602,490 = 602,490 : x
  2. Step 2: Convert to fraction form
    276,945/602,490 = 602,490/x
  3. Step 3: Cross multiply
    276,945x = 602,490 × 602,490
  4. Step 4: Simplify right side
    276,945x = 362,994,200,100
  5. Step 5: Solve for x
    x = 362,994,200,100/276,945
  6. Step 6: Final answer
    x = 1,310,708.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.