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Finding the Third Proportional to 738,928.83 and 1,599,304.50

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Solution

The third proportional to 738,928.83 and 1,599,304.50 is: 3,461,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,928.83 : 1,599,304.50 = 1,599,304.50 : x
  2. Step 2: Convert to fraction form
    738,928.83/1,599,304.50 = 1,599,304.50/x
  3. Step 3: Cross multiply
    738,928.83x = 1,599,304.50 × 1,599,304.50
  4. Step 4: Simplify right side
    738,928.83x = 2,557,774,883,720.25
  5. Step 5: Solve for x
    x = 2,557,774,883,720.25/738,928.83
  6. Step 6: Final answer
    x = 3,461,463.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.