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Finding the Third Proportional to 590,688.75 and 1,262,343.75

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Solution

The third proportional to 590,688.75 and 1,262,343.75 is: 2,697,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,688.75 : 1,262,343.75 = 1,262,343.75 : x
  2. Step 2: Convert to fraction form
    590,688.75/1,262,343.75 = 1,262,343.75/x
  3. Step 3: Cross multiply
    590,688.75x = 1,262,343.75 × 1,262,343.75
  4. Step 4: Simplify right side
    590,688.75x = 1,593,511,743,164.06
  5. Step 5: Solve for x
    x = 1,593,511,743,164.06/590,688.75
  6. Step 6: Final answer
    x = 2,697,718.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.