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Finding the Third Proportional to 315,006 and 740,455.50

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Solution

The third proportional to 315,006 and 740,455.50 is: 1,740,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,006 : 740,455.50 = 740,455.50 : x
  2. Step 2: Convert to fraction form
    315,006/740,455.50 = 740,455.50/x
  3. Step 3: Cross multiply
    315,006x = 740,455.50 × 740,455.50
  4. Step 4: Simplify right side
    315,006x = 548,274,347,480.25
  5. Step 5: Solve for x
    x = 548,274,347,480.25/315,006
  6. Step 6: Final answer
    x = 1,740,520.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.