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Finding the Third Proportional to 317,871 and 480,046

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Solution

The third proportional to 317,871 and 480,046 is: 724,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,871 : 480,046 = 480,046 : x
  2. Step 2: Convert to fraction form
    317,871/480,046 = 480,046/x
  3. Step 3: Cross multiply
    317,871x = 480,046 × 480,046
  4. Step 4: Simplify right side
    317,871x = 230,444,162,116
  5. Step 5: Solve for x
    x = 230,444,162,116/317,871
  6. Step 6: Final answer
    x = 724,961.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.