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Finding the Third Proportional to 523,458 and 789,564

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Solution

The third proportional to 523,458 and 789,564 is: 1,190,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,458 : 789,564 = 789,564 : x
  2. Step 2: Convert to fraction form
    523,458/789,564 = 789,564/x
  3. Step 3: Cross multiply
    523,458x = 789,564 × 789,564
  4. Step 4: Simplify right side
    523,458x = 623,411,310,096
  5. Step 5: Solve for x
    x = 623,411,310,096/523,458
  6. Step 6: Final answer
    x = 1,190,948.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.