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Finding the Third Proportional to 587,964 and 880,326

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Solution

The third proportional to 587,964 and 880,326 is: 1,318,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,964 : 880,326 = 880,326 : x
  2. Step 2: Convert to fraction form
    587,964/880,326 = 880,326/x
  3. Step 3: Cross multiply
    587,964x = 880,326 × 880,326
  4. Step 4: Simplify right side
    587,964x = 774,973,866,276
  5. Step 5: Solve for x
    x = 774,973,866,276/587,964
  6. Step 6: Final answer
    x = 1,318,063.46

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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.