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Finding the Third Proportional to 448,484 and 695,144

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Solution

The third proportional to 448,484 and 695,144 is: 1,077,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,484 : 695,144 = 695,144 : x
  2. Step 2: Convert to fraction form
    448,484/695,144 = 695,144/x
  3. Step 3: Cross multiply
    448,484x = 695,144 × 695,144
  4. Step 4: Simplify right side
    448,484x = 483,225,180,736
  5. Step 5: Solve for x
    x = 483,225,180,736/448,484
  6. Step 6: Final answer
    x = 1,077,463.59

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