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Finding the Third Proportional to 460,696 and 697,486

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Solution

The third proportional to 460,696 and 697,486 is: 1,055,982.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,696 : 697,486 = 697,486 : x
  2. Step 2: Convert to fraction form
    460,696/697,486 = 697,486/x
  3. Step 3: Cross multiply
    460,696x = 697,486 × 697,486
  4. Step 4: Simplify right side
    460,696x = 486,486,720,196
  5. Step 5: Solve for x
    x = 486,486,720,196/460,696
  6. Step 6: Final answer
    x = 1,055,982.08

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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.