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Finding the Third Proportional to 372,980 and 804,927.50

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Solution

The third proportional to 372,980 and 804,927.50 is: 1,737,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,980 : 804,927.50 = 804,927.50 : x
  2. Step 2: Convert to fraction form
    372,980/804,927.50 = 804,927.50/x
  3. Step 3: Cross multiply
    372,980x = 804,927.50 × 804,927.50
  4. Step 4: Simplify right side
    372,980x = 647,908,280,256.25
  5. Step 5: Solve for x
    x = 647,908,280,256.25/372,980
  6. Step 6: Final answer
    x = 1,737,112.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.