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Finding the Third Proportional to 494,702.44 and 739,130.06

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Solution

The third proportional to 494,702.44 and 739,130.06 is: 1,104,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,702.44 : 739,130.06 = 739,130.06 : x
  2. Step 2: Convert to fraction form
    494,702.44/739,130.06 = 739,130.06/x
  3. Step 3: Cross multiply
    494,702.44x = 739,130.06 × 739,130.06
  4. Step 4: Simplify right side
    494,702.44x = 546,313,249,291.25
  5. Step 5: Solve for x
    x = 546,313,249,291.25/494,702.44
  6. Step 6: Final answer
    x = 1,104,326.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.