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Finding the Third Proportional to 651,283 and 983,729

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Solution

The third proportional to 651,283 and 983,729 is: 1,485,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,283 : 983,729 = 983,729 : x
  2. Step 2: Convert to fraction form
    651,283/983,729 = 983,729/x
  3. Step 3: Cross multiply
    651,283x = 983,729 × 983,729
  4. Step 4: Simplify right side
    651,283x = 967,722,745,441
  5. Step 5: Solve for x
    x = 967,722,745,441/651,283
  6. Step 6: Final answer
    x = 1,485,871.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.