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Finding the Third Proportional to 301,774 and 657,660

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Solution

The third proportional to 301,774 and 657,660 is: 1,433,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,774 : 657,660 = 657,660 : x
  2. Step 2: Convert to fraction form
    301,774/657,660 = 657,660/x
  3. Step 3: Cross multiply
    301,774x = 657,660 × 657,660
  4. Step 4: Simplify right side
    301,774x = 432,516,675,600
  5. Step 5: Solve for x
    x = 432,516,675,600/301,774
  6. Step 6: Final answer
    x = 1,433,246.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.