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Finding the Third Proportional to 497,826 and 768,798

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Solution

The third proportional to 497,826 and 768,798 is: 1,187,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,826 : 768,798 = 768,798 : x
  2. Step 2: Convert to fraction form
    497,826/768,798 = 768,798/x
  3. Step 3: Cross multiply
    497,826x = 768,798 × 768,798
  4. Step 4: Simplify right side
    497,826x = 591,050,364,804
  5. Step 5: Solve for x
    x = 591,050,364,804/497,826
  6. Step 6: Final answer
    x = 1,187,262.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.