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Finding the Third Proportional to 325,314 and 473,148

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Solution

The third proportional to 325,314 and 473,148 is: 688,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,314 : 473,148 = 473,148 : x
  2. Step 2: Convert to fraction form
    325,314/473,148 = 473,148/x
  3. Step 3: Cross multiply
    325,314x = 473,148 × 473,148
  4. Step 4: Simplify right side
    325,314x = 223,869,029,904
  5. Step 5: Solve for x
    x = 223,869,029,904/325,314
  6. Step 6: Final answer
    x = 688,162.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.