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Finding the Third Proportional to 531,412 and 789,590

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Solution

The third proportional to 531,412 and 789,590 is: 1,173,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,412 : 789,590 = 789,590 : x
  2. Step 2: Convert to fraction form
    531,412/789,590 = 789,590/x
  3. Step 3: Cross multiply
    531,412x = 789,590 × 789,590
  4. Step 4: Simplify right side
    531,412x = 623,452,368,100
  5. Step 5: Solve for x
    x = 623,452,368,100/531,412
  6. Step 6: Final answer
    x = 1,173,199.64

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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.