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Finding the Third Proportional to 312,051 and 735,901.50

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Solution

The third proportional to 312,051 and 735,901.50 is: 1,735,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,051 : 735,901.50 = 735,901.50 : x
  2. Step 2: Convert to fraction form
    312,051/735,901.50 = 735,901.50/x
  3. Step 3: Cross multiply
    312,051x = 735,901.50 × 735,901.50
  4. Step 4: Simplify right side
    312,051x = 541,551,017,702.25
  5. Step 5: Solve for x
    x = 541,551,017,702.25/312,051
  6. Step 6: Final answer
    x = 1,735,456.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.