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Finding the Third Proportional to 370,579 and 808,071

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Solution

The third proportional to 370,579 and 808,071 is: 1,762,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,579 : 808,071 = 808,071 : x
  2. Step 2: Convert to fraction form
    370,579/808,071 = 808,071/x
  3. Step 3: Cross multiply
    370,579x = 808,071 × 808,071
  4. Step 4: Simplify right side
    370,579x = 652,978,741,041
  5. Step 5: Solve for x
    x = 652,978,741,041/370,579
  6. Step 6: Final answer
    x = 1,762,050.04

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Why These Related Problems?

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