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Finding the Third Proportional to 697,696 and 946,875

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Solution

The third proportional to 697,696 and 946,875 is: 1,285,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,696 : 946,875 = 946,875 : x
  2. Step 2: Convert to fraction form
    697,696/946,875 = 946,875/x
  3. Step 3: Cross multiply
    697,696x = 946,875 × 946,875
  4. Step 4: Simplify right side
    697,696x = 896,572,265,625
  5. Step 5: Solve for x
    x = 896,572,265,625/697,696
  6. Step 6: Final answer
    x = 1,285,047.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.