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Finding the Third Proportional to 315,600.05 and 473,326.03

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Solution

The third proportional to 315,600.05 and 473,326.03 is: 709,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,600.05 : 473,326.03 = 473,326.03 : x
  2. Step 2: Convert to fraction form
    315,600.05/473,326.03 = 473,326.03/x
  3. Step 3: Cross multiply
    315,600.05x = 473,326.03 × 473,326.03
  4. Step 4: Simplify right side
    315,600.05x = 224,037,531,858.88
  5. Step 5: Solve for x
    x = 224,037,531,858.88/315,600.05
  6. Step 6: Final answer
    x = 709,878.01

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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.