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Finding the Third Proportional to 460,560 and 701,982

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Solution

The third proportional to 460,560 and 701,982 is: 1,069,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,560 : 701,982 = 701,982 : x
  2. Step 2: Convert to fraction form
    460,560/701,982 = 701,982/x
  3. Step 3: Cross multiply
    460,560x = 701,982 × 701,982
  4. Step 4: Simplify right side
    460,560x = 492,778,728,324
  5. Step 5: Solve for x
    x = 492,778,728,324/460,560
  6. Step 6: Final answer
    x = 1,069,955.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.