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Finding the Third Proportional to 531,444 and 789,596

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Solution

The third proportional to 531,444 and 789,596 is: 1,173,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,444 : 789,596 = 789,596 : x
  2. Step 2: Convert to fraction form
    531,444/789,596 = 789,596/x
  3. Step 3: Cross multiply
    531,444x = 789,596 × 789,596
  4. Step 4: Simplify right side
    531,444x = 623,461,843,216
  5. Step 5: Solve for x
    x = 623,461,843,216/531,444
  6. Step 6: Final answer
    x = 1,173,146.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.