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Finding the Third Proportional to 460,756 and 697,575

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Solution

The third proportional to 460,756 and 697,575 is: 1,056,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,756 : 697,575 = 697,575 : x
  2. Step 2: Convert to fraction form
    460,756/697,575 = 697,575/x
  3. Step 3: Cross multiply
    460,756x = 697,575 × 697,575
  4. Step 4: Simplify right side
    460,756x = 486,610,880,625
  5. Step 5: Solve for x
    x = 486,610,880,625/460,756
  6. Step 6: Final answer
    x = 1,056,114.04

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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.