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Finding the Third Proportional to 372,714.75 and 804,442.50

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Solution

The third proportional to 372,714.75 and 804,442.50 is: 1,736,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,714.75 : 804,442.50 = 804,442.50 : x
  2. Step 2: Convert to fraction form
    372,714.75/804,442.50 = 804,442.50/x
  3. Step 3: Cross multiply
    372,714.75x = 804,442.50 × 804,442.50
  4. Step 4: Simplify right side
    372,714.75x = 647,127,735,806.25
  5. Step 5: Solve for x
    x = 647,127,735,806.25/372,714.75
  6. Step 6: Final answer
    x = 1,736,254.70

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Why These Related Problems?

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