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Finding the Third Proportional to 465,210 and 670,707

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Solution

The third proportional to 465,210 and 670,707 is: 966,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,210 : 670,707 = 670,707 : x
  2. Step 2: Convert to fraction form
    465,210/670,707 = 670,707/x
  3. Step 3: Cross multiply
    465,210x = 670,707 × 670,707
  4. Step 4: Simplify right side
    465,210x = 449,847,879,849
  5. Step 5: Solve for x
    x = 449,847,879,849/465,210
  6. Step 6: Final answer
    x = 966,978.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.