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Finding the Third Proportional to 461,660 and 695,526

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Solution

The third proportional to 461,660 and 695,526 is: 1,047,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,660 : 695,526 = 695,526 : x
  2. Step 2: Convert to fraction form
    461,660/695,526 = 695,526/x
  3. Step 3: Cross multiply
    461,660x = 695,526 × 695,526
  4. Step 4: Simplify right side
    461,660x = 483,756,416,676
  5. Step 5: Solve for x
    x = 483,756,416,676/461,660
  6. Step 6: Final answer
    x = 1,047,862.97

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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.