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Finding the Third Proportional to 448,461 and 695,108

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Solution

The third proportional to 448,461 and 695,108 is: 1,077,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,461 : 695,108 = 695,108 : x
  2. Step 2: Convert to fraction form
    448,461/695,108 = 695,108/x
  3. Step 3: Cross multiply
    448,461x = 695,108 × 695,108
  4. Step 4: Simplify right side
    448,461x = 483,175,131,664
  5. Step 5: Solve for x
    x = 483,175,131,664/448,461
  6. Step 6: Final answer
    x = 1,077,407.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.