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Finding the Third Proportional to 368.61 and 537.10

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Solution

The third proportional to 368.61 and 537.10 is: 782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.61 : 537.10 = 537.10 : x
  2. Step 2: Convert to fraction form
    368.61/537.10 = 537.10/x
  3. Step 3: Cross multiply
    368.61x = 537.10 × 537.10
  4. Step 4: Simplify right side
    368.61x = 288,475.99
  5. Step 5: Solve for x
    x = 288,475.99/368.61
  6. Step 6: Final answer
    x = 782.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.