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Finding the Third Proportional to 479,642 and 692,942

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Solution

The third proportional to 479,642 and 692,942 is: 1,001,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,642 : 692,942 = 692,942 : x
  2. Step 2: Convert to fraction form
    479,642/692,942 = 692,942/x
  3. Step 3: Cross multiply
    479,642x = 692,942 × 692,942
  4. Step 4: Simplify right side
    479,642x = 480,168,615,364
  5. Step 5: Solve for x
    x = 480,168,615,364/479,642
  6. Step 6: Final answer
    x = 1,001,097.93

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Why These Related Problems?

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