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Finding the Third Proportional to 448,470 and 695,121.75

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Solution

The third proportional to 448,470 and 695,121.75 is: 1,077,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,470 : 695,121.75 = 695,121.75 : x
  2. Step 2: Convert to fraction form
    448,470/695,121.75 = 695,121.75/x
  3. Step 3: Cross multiply
    448,470x = 695,121.75 × 695,121.75
  4. Step 4: Simplify right side
    448,470x = 483,194,247,323.06
  5. Step 5: Solve for x
    x = 483,194,247,323.06/448,470
  6. Step 6: Final answer
    x = 1,077,428.25

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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.