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Finding the Third Proportional to 369,185 and 805,071

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Solution

The third proportional to 369,185 and 805,071 is: 1,755,594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,185 : 805,071 = 805,071 : x
  2. Step 2: Convert to fraction form
    369,185/805,071 = 805,071/x
  3. Step 3: Cross multiply
    369,185x = 805,071 × 805,071
  4. Step 4: Simplify right side
    369,185x = 648,139,315,041
  5. Step 5: Solve for x
    x = 648,139,315,041/369,185
  6. Step 6: Final answer
    x = 1,755,594.93

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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.