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Finding the Third Proportional to 370,146.63 and 803,716.25

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Solution

The third proportional to 370,146.63 and 803,716.25 is: 1,745,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,146.63 : 803,716.25 = 803,716.25 : x
  2. Step 2: Convert to fraction form
    370,146.63/803,716.25 = 803,716.25/x
  3. Step 3: Cross multiply
    370,146.63x = 803,716.25 × 803,716.25
  4. Step 4: Simplify right side
    370,146.63x = 645,959,810,514.06
  5. Step 5: Solve for x
    x = 645,959,810,514.06/370,146.63
  6. Step 6: Final answer
    x = 1,745,145.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.