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Finding the Third Proportional to 596,034 and 899,523

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Solution

The third proportional to 596,034 and 899,523 is: 1,357,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,034 : 899,523 = 899,523 : x
  2. Step 2: Convert to fraction form
    596,034/899,523 = 899,523/x
  3. Step 3: Cross multiply
    596,034x = 899,523 × 899,523
  4. Step 4: Simplify right side
    596,034x = 809,141,627,529
  5. Step 5: Solve for x
    x = 809,141,627,529/596,034
  6. Step 6: Final answer
    x = 1,357,542.74

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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.