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Finding the Third Proportional to 315,173 and 473,083

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Solution

The third proportional to 315,173 and 473,083 is: 710,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,173 : 473,083 = 473,083 : x
  2. Step 2: Convert to fraction form
    315,173/473,083 = 473,083/x
  3. Step 3: Cross multiply
    315,173x = 473,083 × 473,083
  4. Step 4: Simplify right side
    315,173x = 223,807,524,889
  5. Step 5: Solve for x
    x = 223,807,524,889/315,173
  6. Step 6: Final answer
    x = 710,110.08

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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.