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Finding the Third Proportional to 276,359 and 573,490

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Solution

The third proportional to 276,359 and 573,490 is: 1,190,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,359 : 573,490 = 573,490 : x
  2. Step 2: Convert to fraction form
    276,359/573,490 = 573,490/x
  3. Step 3: Cross multiply
    276,359x = 573,490 × 573,490
  4. Step 4: Simplify right side
    276,359x = 328,890,780,100
  5. Step 5: Solve for x
    x = 328,890,780,100/276,359
  6. Step 6: Final answer
    x = 1,190,085.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.