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Finding the Third Proportional to 532,263 and 846,477

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Solution

The third proportional to 532,263 and 846,477 is: 1,346,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,263 : 846,477 = 846,477 : x
  2. Step 2: Convert to fraction form
    532,263/846,477 = 846,477/x
  3. Step 3: Cross multiply
    532,263x = 846,477 × 846,477
  4. Step 4: Simplify right side
    532,263x = 716,523,311,529
  5. Step 5: Solve for x
    x = 716,523,311,529/532,263
  6. Step 6: Final answer
    x = 1,346,182.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.