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Finding the Third Proportional to 319,554 and 702,166.50

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Solution

The third proportional to 319,554 and 702,166.50 is: 1,542,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,554 : 702,166.50 = 702,166.50 : x
  2. Step 2: Convert to fraction form
    319,554/702,166.50 = 702,166.50/x
  3. Step 3: Cross multiply
    319,554x = 702,166.50 × 702,166.50
  4. Step 4: Simplify right side
    319,554x = 493,037,793,722.25
  5. Step 5: Solve for x
    x = 493,037,793,722.25/319,554
  6. Step 6: Final answer
    x = 1,542,893.51

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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.