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Finding the Third Proportional to 334,135 and 482,767.50

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Solution

The third proportional to 334,135 and 482,767.50 is: 697,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,135 : 482,767.50 = 482,767.50 : x
  2. Step 2: Convert to fraction form
    334,135/482,767.50 = 482,767.50/x
  3. Step 3: Cross multiply
    334,135x = 482,767.50 × 482,767.50
  4. Step 4: Simplify right side
    334,135x = 233,064,459,056.25
  5. Step 5: Solve for x
    x = 233,064,459,056.25/334,135
  6. Step 6: Final answer
    x = 697,515.85

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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.