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Finding the Third Proportional to 461,692 and 695,580

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Solution

The third proportional to 461,692 and 695,580 is: 1,047,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,692 : 695,580 = 695,580 : x
  2. Step 2: Convert to fraction form
    461,692/695,580 = 695,580/x
  3. Step 3: Cross multiply
    461,692x = 695,580 × 695,580
  4. Step 4: Simplify right side
    461,692x = 483,831,536,400
  5. Step 5: Solve for x
    x = 483,831,536,400/461,692
  6. Step 6: Final answer
    x = 1,047,953.04

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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.