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Finding the Third Proportional to 289,983 and 636,702.50

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Solution

The third proportional to 289,983 and 636,702.50 is: 1,397,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,983 : 636,702.50 = 636,702.50 : x
  2. Step 2: Convert to fraction form
    289,983/636,702.50 = 636,702.50/x
  3. Step 3: Cross multiply
    289,983x = 636,702.50 × 636,702.50
  4. Step 4: Simplify right side
    289,983x = 405,390,073,506.25
  5. Step 5: Solve for x
    x = 405,390,073,506.25/289,983
  6. Step 6: Final answer
    x = 1,397,978.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.