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Finding the Third Proportional to 315,182 and 473,097

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Solution

The third proportional to 315,182 and 473,097 is: 710,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,182 : 473,097 = 473,097 : x
  2. Step 2: Convert to fraction form
    315,182/473,097 = 473,097/x
  3. Step 3: Cross multiply
    315,182x = 473,097 × 473,097
  4. Step 4: Simplify right side
    315,182x = 223,820,771,409
  5. Step 5: Solve for x
    x = 223,820,771,409/315,182
  6. Step 6: Final answer
    x = 710,131.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.