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Finding the Third Proportional to 317,072 and 434,784

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Solution

The third proportional to 317,072 and 434,784 is: 596,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,072 : 434,784 = 434,784 : x
  2. Step 2: Convert to fraction form
    317,072/434,784 = 434,784/x
  3. Step 3: Cross multiply
    317,072x = 434,784 × 434,784
  4. Step 4: Simplify right side
    317,072x = 189,037,126,656
  5. Step 5: Solve for x
    x = 189,037,126,656/317,072
  6. Step 6: Final answer
    x = 596,196.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.