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Finding the Third Proportional to 479,655 and 692,964

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Solution

The third proportional to 479,655 and 692,964 is: 1,001,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,655 : 692,964 = 692,964 : x
  2. Step 2: Convert to fraction form
    479,655/692,964 = 692,964/x
  3. Step 3: Cross multiply
    479,655x = 692,964 × 692,964
  4. Step 4: Simplify right side
    479,655x = 480,199,105,296
  5. Step 5: Solve for x
    x = 480,199,105,296/479,655
  6. Step 6: Final answer
    x = 1,001,134.37

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.