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Finding the Third Proportional to 314,477.44 and 418,985.16

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Solution

The third proportional to 314,477.44 and 418,985.16 is: 558,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,477.44 : 418,985.16 = 418,985.16 : x
  2. Step 2: Convert to fraction form
    314,477.44/418,985.16 = 418,985.16/x
  3. Step 3: Cross multiply
    314,477.44x = 418,985.16 × 418,985.16
  4. Step 4: Simplify right side
    314,477.44x = 175,548,561,157.84
  5. Step 5: Solve for x
    x = 175,548,561,157.84/314,477.44
  6. Step 6: Final answer
    x = 558,223.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.