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Finding the Third Proportional to 370,580 and 808,071

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Solution

The third proportional to 370,580 and 808,071 is: 1,762,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,580 : 808,071 = 808,071 : x
  2. Step 2: Convert to fraction form
    370,580/808,071 = 808,071/x
  3. Step 3: Cross multiply
    370,580x = 808,071 × 808,071
  4. Step 4: Simplify right side
    370,580x = 652,978,741,041
  5. Step 5: Solve for x
    x = 652,978,741,041/370,580
  6. Step 6: Final answer
    x = 1,762,045.28

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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.