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Finding the Third Proportional to 460,716 and 697,521

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Solution

The third proportional to 460,716 and 697,521 is: 1,056,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,716 : 697,521 = 697,521 : x
  2. Step 2: Convert to fraction form
    460,716/697,521 = 697,521/x
  3. Step 3: Cross multiply
    460,716x = 697,521 × 697,521
  4. Step 4: Simplify right side
    460,716x = 486,535,545,441
  5. Step 5: Solve for x
    x = 486,535,545,441/460,716
  6. Step 6: Final answer
    x = 1,056,042.22

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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.