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Finding the Third Proportional to 841.88 and 1,303.50

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Solution

The third proportional to 841.88 and 1,303.50 is: 2,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.88 : 1,303.50 = 1,303.50 : x
  2. Step 2: Convert to fraction form
    841.88/1,303.50 = 1,303.50/x
  3. Step 3: Cross multiply
    841.88x = 1,303.50 × 1,303.50
  4. Step 4: Simplify right side
    841.88x = 1,699,112.25
  5. Step 5: Solve for x
    x = 1,699,112.25/841.88
  6. Step 6: Final answer
    x = 2,018.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.