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Finding the Third Proportional to 313,815 and 473,670

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Solution

The third proportional to 313,815 and 473,670 is: 714,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,815 : 473,670 = 473,670 : x
  2. Step 2: Convert to fraction form
    313,815/473,670 = 473,670/x
  3. Step 3: Cross multiply
    313,815x = 473,670 × 473,670
  4. Step 4: Simplify right side
    313,815x = 224,363,268,900
  5. Step 5: Solve for x
    x = 224,363,268,900/313,815
  6. Step 6: Final answer
    x = 714,953.93

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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.