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Finding the Third Proportional to 325,306 and 473,136

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Solution

The third proportional to 325,306 and 473,136 is: 688,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,306 : 473,136 = 473,136 : x
  2. Step 2: Convert to fraction form
    325,306/473,136 = 473,136/x
  3. Step 3: Cross multiply
    325,306x = 473,136 × 473,136
  4. Step 4: Simplify right side
    325,306x = 223,857,674,496
  5. Step 5: Solve for x
    x = 223,857,674,496/325,306
  6. Step 6: Final answer
    x = 688,144.93

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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.