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Finding the Third Proportional to 295,616 and 670,148

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Solution

The third proportional to 295,616 and 670,148 is: 1,519,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,616 : 670,148 = 670,148 : x
  2. Step 2: Convert to fraction form
    295,616/670,148 = 670,148/x
  3. Step 3: Cross multiply
    295,616x = 670,148 × 670,148
  4. Step 4: Simplify right side
    295,616x = 449,098,341,904
  5. Step 5: Solve for x
    x = 449,098,341,904/295,616
  6. Step 6: Final answer
    x = 1,519,194.98

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.