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Finding the Third Proportional to 531,392 and 789,560

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Solution

The third proportional to 531,392 and 789,560 is: 1,173,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,392 : 789,560 = 789,560 : x
  2. Step 2: Convert to fraction form
    531,392/789,560 = 789,560/x
  3. Step 3: Cross multiply
    531,392x = 789,560 × 789,560
  4. Step 4: Simplify right side
    531,392x = 623,404,993,600
  5. Step 5: Solve for x
    x = 623,404,993,600/531,392
  6. Step 6: Final answer
    x = 1,173,154.65

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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.