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Finding the Third Proportional to 496,946 and 662,091

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Solution

The third proportional to 496,946 and 662,091 is: 882,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,946 : 662,091 = 662,091 : x
  2. Step 2: Convert to fraction form
    496,946/662,091 = 662,091/x
  3. Step 3: Cross multiply
    496,946x = 662,091 × 662,091
  4. Step 4: Simplify right side
    496,946x = 438,364,492,281
  5. Step 5: Solve for x
    x = 438,364,492,281/496,946
  6. Step 6: Final answer
    x = 882,116.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.