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Finding the Third Proportional to 305,748 and 650,965.50

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Solution

The third proportional to 305,748 and 650,965.50 is: 1,385,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,748 : 650,965.50 = 650,965.50 : x
  2. Step 2: Convert to fraction form
    305,748/650,965.50 = 650,965.50/x
  3. Step 3: Cross multiply
    305,748x = 650,965.50 × 650,965.50
  4. Step 4: Simplify right side
    305,748x = 423,756,082,190.25
  5. Step 5: Solve for x
    x = 423,756,082,190.25/305,748
  6. Step 6: Final answer
    x = 1,385,965.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.