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Finding the Third Proportional to 548,820 and 832,959

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Solution

The third proportional to 548,820 and 832,959 is: 1,264,204.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,820 : 832,959 = 832,959 : x
  2. Step 2: Convert to fraction form
    548,820/832,959 = 832,959/x
  3. Step 3: Cross multiply
    548,820x = 832,959 × 832,959
  4. Step 4: Simplify right side
    548,820x = 693,820,695,681
  5. Step 5: Solve for x
    x = 693,820,695,681/548,820
  6. Step 6: Final answer
    x = 1,264,204.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.