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Finding the Third Proportional to 479,639 and 692,938

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Solution

The third proportional to 479,639 and 692,938 is: 1,001,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,639 : 692,938 = 692,938 : x
  2. Step 2: Convert to fraction form
    479,639/692,938 = 692,938/x
  3. Step 3: Cross multiply
    479,639x = 692,938 × 692,938
  4. Step 4: Simplify right side
    479,639x = 480,163,071,844
  5. Step 5: Solve for x
    x = 480,163,071,844/479,639
  6. Step 6: Final answer
    x = 1,001,092.64

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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.