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Finding the Third Proportional to 676,009.50 and 1,467,564

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Solution

The third proportional to 676,009.50 and 1,467,564 is: 3,185,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,009.50 : 1,467,564 = 1,467,564 : x
  2. Step 2: Convert to fraction form
    676,009.50/1,467,564 = 1,467,564/x
  3. Step 3: Cross multiply
    676,009.50x = 1,467,564 × 1,467,564
  4. Step 4: Simplify right side
    676,009.50x = 2,153,744,094,096
  5. Step 5: Solve for x
    x = 2,153,744,094,096/676,009.50
  6. Step 6: Final answer
    x = 3,185,967.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.