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Finding the Third Proportional to 325,310 and 473,142

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Solution

The third proportional to 325,310 and 473,142 is: 688,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,310 : 473,142 = 473,142 : x
  2. Step 2: Convert to fraction form
    325,310/473,142 = 473,142/x
  3. Step 3: Cross multiply
    325,310x = 473,142 × 473,142
  4. Step 4: Simplify right side
    325,310x = 223,863,352,164
  5. Step 5: Solve for x
    x = 223,863,352,164/325,310
  6. Step 6: Final answer
    x = 688,153.92

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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.