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Finding the Third Proportional to 358,902 and 755,004

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Solution

The third proportional to 358,902 and 755,004 is: 1,588,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,902 : 755,004 = 755,004 : x
  2. Step 2: Convert to fraction form
    358,902/755,004 = 755,004/x
  3. Step 3: Cross multiply
    358,902x = 755,004 × 755,004
  4. Step 4: Simplify right side
    358,902x = 570,031,040,016
  5. Step 5: Solve for x
    x = 570,031,040,016/358,902
  6. Step 6: Final answer
    x = 1,588,263.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.