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Finding the Third Proportional to 582,064 and 875,262

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Solution

The third proportional to 582,064 and 875,262 is: 1,316,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,064 : 875,262 = 875,262 : x
  2. Step 2: Convert to fraction form
    582,064/875,262 = 875,262/x
  3. Step 3: Cross multiply
    582,064x = 875,262 × 875,262
  4. Step 4: Simplify right side
    582,064x = 766,083,568,644
  5. Step 5: Solve for x
    x = 766,083,568,644/582,064
  6. Step 6: Final answer
    x = 1,316,150.06

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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.