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Finding the Third Proportional to 631,526 and 966,233

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Solution

The third proportional to 631,526 and 966,233 is: 1,478,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,526 : 966,233 = 966,233 : x
  2. Step 2: Convert to fraction form
    631,526/966,233 = 966,233/x
  3. Step 3: Cross multiply
    631,526x = 966,233 × 966,233
  4. Step 4: Simplify right side
    631,526x = 933,606,210,289
  5. Step 5: Solve for x
    x = 933,606,210,289/631,526
  6. Step 6: Final answer
    x = 1,478,333.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.