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Finding the Third Proportional to 350,562.50 and 765,973

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Solution

The third proportional to 350,562.50 and 765,973 is: 1,673,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,562.50 : 765,973 = 765,973 : x
  2. Step 2: Convert to fraction form
    350,562.50/765,973 = 765,973/x
  3. Step 3: Cross multiply
    350,562.50x = 765,973 × 765,973
  4. Step 4: Simplify right side
    350,562.50x = 586,714,636,729
  5. Step 5: Solve for x
    x = 586,714,636,729/350,562.50
  6. Step 6: Final answer
    x = 1,673,637.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.