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Finding the Third Proportional to 313,449 and 473,089.50

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Solution

The third proportional to 313,449 and 473,089.50 is: 714,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,449 : 473,089.50 = 473,089.50 : x
  2. Step 2: Convert to fraction form
    313,449/473,089.50 = 473,089.50/x
  3. Step 3: Cross multiply
    313,449x = 473,089.50 × 473,089.50
  4. Step 4: Simplify right side
    313,449x = 223,813,675,010.25
  5. Step 5: Solve for x
    x = 223,813,675,010.25/313,449
  6. Step 6: Final answer
    x = 714,035.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.