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Finding the Third Proportional to 532,368 and 804,906

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Solution

The third proportional to 532,368 and 804,906 is: 1,216,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,368 : 804,906 = 804,906 : x
  2. Step 2: Convert to fraction form
    532,368/804,906 = 804,906/x
  3. Step 3: Cross multiply
    532,368x = 804,906 × 804,906
  4. Step 4: Simplify right side
    532,368x = 647,873,668,836
  5. Step 5: Solve for x
    x = 647,873,668,836/532,368
  6. Step 6: Final answer
    x = 1,216,965.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.