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Finding the Third Proportional to 598,563 and 807,570

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Solution

The third proportional to 598,563 and 807,570 is: 1,089,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,563 : 807,570 = 807,570 : x
  2. Step 2: Convert to fraction form
    598,563/807,570 = 807,570/x
  3. Step 3: Cross multiply
    598,563x = 807,570 × 807,570
  4. Step 4: Simplify right side
    598,563x = 652,169,304,900
  5. Step 5: Solve for x
    x = 652,169,304,900/598,563
  6. Step 6: Final answer
    x = 1,089,558.33

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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.