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Finding the Third Proportional to 383,962.50 and 834,935.63

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Solution

The third proportional to 383,962.50 and 834,935.63 is: 1,815,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,962.50 : 834,935.63 = 834,935.63 : x
  2. Step 2: Convert to fraction form
    383,962.50/834,935.63 = 834,935.63/x
  3. Step 3: Cross multiply
    383,962.50x = 834,935.63 × 834,935.63
  4. Step 4: Simplify right side
    383,962.50x = 697,117,497,894.14
  5. Step 5: Solve for x
    x = 697,117,497,894.14/383,962.50
  6. Step 6: Final answer
    x = 1,815,587.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.