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Finding the Third Proportional to 536,310 and 786,933

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Solution

The third proportional to 536,310 and 786,933 is: 1,154,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,310 : 786,933 = 786,933 : x
  2. Step 2: Convert to fraction form
    536,310/786,933 = 786,933/x
  3. Step 3: Cross multiply
    536,310x = 786,933 × 786,933
  4. Step 4: Simplify right side
    536,310x = 619,263,546,489
  5. Step 5: Solve for x
    x = 619,263,546,489/536,310
  6. Step 6: Final answer
    x = 1,154,674.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.