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Finding the Third Proportional to 528,826 and 794,410

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Solution

The third proportional to 528,826 and 794,410 is: 1,193,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,826 : 794,410 = 794,410 : x
  2. Step 2: Convert to fraction form
    528,826/794,410 = 794,410/x
  3. Step 3: Cross multiply
    528,826x = 794,410 × 794,410
  4. Step 4: Simplify right side
    528,826x = 631,087,248,100
  5. Step 5: Solve for x
    x = 631,087,248,100/528,826
  6. Step 6: Final answer
    x = 1,193,374.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.