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Finding the Third Proportional to 444,020 and 670,026

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Solution

The third proportional to 444,020 and 670,026 is: 1,011,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,020 : 670,026 = 670,026 : x
  2. Step 2: Convert to fraction form
    444,020/670,026 = 670,026/x
  3. Step 3: Cross multiply
    444,020x = 670,026 × 670,026
  4. Step 4: Simplify right side
    444,020x = 448,934,840,676
  5. Step 5: Solve for x
    x = 448,934,840,676/444,020
  6. Step 6: Final answer
    x = 1,011,068.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.