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Finding the Third Proportional to 313,564.50 and 473,284.69

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Solution

The third proportional to 313,564.50 and 473,284.69 is: 714,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,564.50 : 473,284.69 = 473,284.69 : x
  2. Step 2: Convert to fraction form
    313,564.50/473,284.69 = 473,284.69/x
  3. Step 3: Cross multiply
    313,564.50x = 473,284.69 × 473,284.69
  4. Step 4: Simplify right side
    313,564.50x = 223,998,395,421.97
  5. Step 5: Solve for x
    x = 223,998,395,421.97/313,564.50
  6. Step 6: Final answer
    x = 714,361.46

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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.