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Finding the Third Proportional to 368,752.50 and 804,527

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Solution

The third proportional to 368,752.50 and 804,527 is: 1,755,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,752.50 : 804,527 = 804,527 : x
  2. Step 2: Convert to fraction form
    368,752.50/804,527 = 804,527/x
  3. Step 3: Cross multiply
    368,752.50x = 804,527 × 804,527
  4. Step 4: Simplify right side
    368,752.50x = 647,263,693,729
  5. Step 5: Solve for x
    x = 647,263,693,729/368,752.50
  6. Step 6: Final answer
    x = 1,755,279.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.