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Finding the Third Proportional to 370,631.25 and 812,180.25

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Solution

The third proportional to 370,631.25 and 812,180.25 is: 1,779,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,631.25 : 812,180.25 = 812,180.25 : x
  2. Step 2: Convert to fraction form
    370,631.25/812,180.25 = 812,180.25/x
  3. Step 3: Cross multiply
    370,631.25x = 812,180.25 × 812,180.25
  4. Step 4: Simplify right side
    370,631.25x = 659,636,758,490.06
  5. Step 5: Solve for x
    x = 659,636,758,490.06/370,631.25
  6. Step 6: Final answer
    x = 1,779,765.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.