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Finding the Third Proportional to 567,712 and 789,360

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Solution

The third proportional to 567,712 and 789,360 is: 1,097,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,712 : 789,360 = 789,360 : x
  2. Step 2: Convert to fraction form
    567,712/789,360 = 789,360/x
  3. Step 3: Cross multiply
    567,712x = 789,360 × 789,360
  4. Step 4: Simplify right side
    567,712x = 623,089,209,600
  5. Step 5: Solve for x
    x = 623,089,209,600/567,712
  6. Step 6: Final answer
    x = 1,097,544.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.