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Finding the Third Proportional to 401,561 and 745,666

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Solution

The third proportional to 401,561 and 745,666 is: 1,384,640.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,561 : 745,666 = 745,666 : x
  2. Step 2: Convert to fraction form
    401,561/745,666 = 745,666/x
  3. Step 3: Cross multiply
    401,561x = 745,666 × 745,666
  4. Step 4: Simplify right side
    401,561x = 556,017,783,556
  5. Step 5: Solve for x
    x = 556,017,783,556/401,561
  6. Step 6: Final answer
    x = 1,384,640.90

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.