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Finding the Third Proportional to 350,994 and 758,028

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Solution

The third proportional to 350,994 and 758,028 is: 1,637,083.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,994 : 758,028 = 758,028 : x
  2. Step 2: Convert to fraction form
    350,994/758,028 = 758,028/x
  3. Step 3: Cross multiply
    350,994x = 758,028 × 758,028
  4. Step 4: Simplify right side
    350,994x = 574,606,448,784
  5. Step 5: Solve for x
    x = 574,606,448,784/350,994
  6. Step 6: Final answer
    x = 1,637,083.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.