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Finding the Third Proportional to 529,554 and 740,763

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Solution

The third proportional to 529,554 and 740,763 is: 1,036,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,554 : 740,763 = 740,763 : x
  2. Step 2: Convert to fraction form
    529,554/740,763 = 740,763/x
  3. Step 3: Cross multiply
    529,554x = 740,763 × 740,763
  4. Step 4: Simplify right side
    529,554x = 548,729,822,169
  5. Step 5: Solve for x
    x = 548,729,822,169/529,554
  6. Step 6: Final answer
    x = 1,036,211.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.