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Finding the Third Proportional to 358,902 and 522,774

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Solution

The third proportional to 358,902 and 522,774 is: 761,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,902 : 522,774 = 522,774 : x
  2. Step 2: Convert to fraction form
    358,902/522,774 = 522,774/x
  3. Step 3: Cross multiply
    358,902x = 522,774 × 522,774
  4. Step 4: Simplify right side
    358,902x = 273,292,655,076
  5. Step 5: Solve for x
    x = 273,292,655,076/358,902
  6. Step 6: Final answer
    x = 761,468.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.