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Finding the Third Proportional to 586,758 and 881,433

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Solution

The third proportional to 586,758 and 881,433 is: 1,324,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,758 : 881,433 = 881,433 : x
  2. Step 2: Convert to fraction form
    586,758/881,433 = 881,433/x
  3. Step 3: Cross multiply
    586,758x = 881,433 × 881,433
  4. Step 4: Simplify right side
    586,758x = 776,924,133,489
  5. Step 5: Solve for x
    x = 776,924,133,489/586,758
  6. Step 6: Final answer
    x = 1,324,096.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.