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Finding the Third Proportional to 442,263.94 and 662,702.06

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Solution

The third proportional to 442,263.94 and 662,702.06 is: 993,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,263.94 : 662,702.06 = 662,702.06 : x
  2. Step 2: Convert to fraction form
    442,263.94/662,702.06 = 662,702.06/x
  3. Step 3: Cross multiply
    442,263.94x = 662,702.06 × 662,702.06
  4. Step 4: Simplify right side
    442,263.94x = 439,174,023,641.75
  5. Step 5: Solve for x
    x = 439,174,023,641.75/442,263.94
  6. Step 6: Final answer
    x = 993,013.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.