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Finding the Third Proportional to 317,185 and 432,025.50

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Solution

The third proportional to 317,185 and 432,025.50 is: 588,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,185 : 432,025.50 = 432,025.50 : x
  2. Step 2: Convert to fraction form
    317,185/432,025.50 = 432,025.50/x
  3. Step 3: Cross multiply
    317,185x = 432,025.50 × 432,025.50
  4. Step 4: Simplify right side
    317,185x = 186,646,032,650.25
  5. Step 5: Solve for x
    x = 186,646,032,650.25/317,185
  6. Step 6: Final answer
    x = 588,445.33

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.