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Finding the Third Proportional to 350,087 and 749,989

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Solution

The third proportional to 350,087 and 749,989 is: 1,606,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,087 : 749,989 = 749,989 : x
  2. Step 2: Convert to fraction form
    350,087/749,989 = 749,989/x
  3. Step 3: Cross multiply
    350,087x = 749,989 × 749,989
  4. Step 4: Simplify right side
    350,087x = 562,483,500,121
  5. Step 5: Solve for x
    x = 562,483,500,121/350,087
  6. Step 6: Final answer
    x = 1,606,696.34

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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.