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Finding the Third Proportional to 461,160 and 697,878

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Solution

The third proportional to 461,160 and 697,878 is: 1,056,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,160 : 697,878 = 697,878 : x
  2. Step 2: Convert to fraction form
    461,160/697,878 = 697,878/x
  3. Step 3: Cross multiply
    461,160x = 697,878 × 697,878
  4. Step 4: Simplify right side
    461,160x = 487,033,702,884
  5. Step 5: Solve for x
    x = 487,033,702,884/461,160
  6. Step 6: Final answer
    x = 1,056,105.70

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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.