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Finding the Third Proportional to 460,718 and 697,524

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Solution

The third proportional to 460,718 and 697,524 is: 1,056,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,718 : 697,524 = 697,524 : x
  2. Step 2: Convert to fraction form
    460,718/697,524 = 697,524/x
  3. Step 3: Cross multiply
    460,718x = 697,524 × 697,524
  4. Step 4: Simplify right side
    460,718x = 486,539,730,576
  5. Step 5: Solve for x
    x = 486,539,730,576/460,718
  6. Step 6: Final answer
    x = 1,056,046.72

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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.