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Finding the Third Proportional to 281,856 and 657,786

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Solution

The third proportional to 281,856 and 657,786 is: 1,535,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,856 : 657,786 = 657,786 : x
  2. Step 2: Convert to fraction form
    281,856/657,786 = 657,786/x
  3. Step 3: Cross multiply
    281,856x = 657,786 × 657,786
  4. Step 4: Simplify right side
    281,856x = 432,682,421,796
  5. Step 5: Solve for x
    x = 432,682,421,796/281,856
  6. Step 6: Final answer
    x = 1,535,118.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.