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Finding the Third Proportional to 334,122 and 482,748

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Solution

The third proportional to 334,122 and 482,748 is: 697,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,122 : 482,748 = 482,748 : x
  2. Step 2: Convert to fraction form
    334,122/482,748 = 482,748/x
  3. Step 3: Cross multiply
    334,122x = 482,748 × 482,748
  4. Step 4: Simplify right side
    334,122x = 233,045,631,504
  5. Step 5: Solve for x
    x = 233,045,631,504/334,122
  6. Step 6: Final answer
    x = 697,486.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.