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Finding the Third Proportional to 379,973 and 592,964

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Solution

The third proportional to 379,973 and 592,964 is: 925,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,973 : 592,964 = 592,964 : x
  2. Step 2: Convert to fraction form
    379,973/592,964 = 592,964/x
  3. Step 3: Cross multiply
    379,973x = 592,964 × 592,964
  4. Step 4: Simplify right side
    379,973x = 351,606,305,296
  5. Step 5: Solve for x
    x = 351,606,305,296/379,973
  6. Step 6: Final answer
    x = 925,345.50

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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.