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Finding the Third Proportional to 538,360 and 731,454

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Solution

The third proportional to 538,360 and 731,454 is: 993,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,360 : 731,454 = 731,454 : x
  2. Step 2: Convert to fraction form
    538,360/731,454 = 731,454/x
  3. Step 3: Cross multiply
    538,360x = 731,454 × 731,454
  4. Step 4: Simplify right side
    538,360x = 535,024,954,116
  5. Step 5: Solve for x
    x = 535,024,954,116/538,360
  6. Step 6: Final answer
    x = 993,805.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.