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Finding the Third Proportional to 380,610 and 592,704

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Solution

The third proportional to 380,610 and 592,704 is: 922,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,610 : 592,704 = 592,704 : x
  2. Step 2: Convert to fraction form
    380,610/592,704 = 592,704/x
  3. Step 3: Cross multiply
    380,610x = 592,704 × 592,704
  4. Step 4: Simplify right side
    380,610x = 351,298,031,616
  5. Step 5: Solve for x
    x = 351,298,031,616/380,610
  6. Step 6: Final answer
    x = 922,986.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.