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Finding the Third Proportional to 598,567 and 807,576

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Solution

The third proportional to 598,567 and 807,576 is: 1,089,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,567 : 807,576 = 807,576 : x
  2. Step 2: Convert to fraction form
    598,567/807,576 = 807,576/x
  3. Step 3: Cross multiply
    598,567x = 807,576 × 807,576
  4. Step 4: Simplify right side
    598,567x = 652,178,995,776
  5. Step 5: Solve for x
    x = 652,178,995,776/598,567
  6. Step 6: Final answer
    x = 1,089,567.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.