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Finding the Third Proportional to 317,520 and 435,456

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Solution

The third proportional to 317,520 and 435,456 is: 597,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,520 : 435,456 = 435,456 : x
  2. Step 2: Convert to fraction form
    317,520/435,456 = 435,456/x
  3. Step 3: Cross multiply
    317,520x = 435,456 × 435,456
  4. Step 4: Simplify right side
    317,520x = 189,621,927,936
  5. Step 5: Solve for x
    x = 189,621,927,936/317,520
  6. Step 6: Final answer
    x = 597,196.80

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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.