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Finding the Third Proportional to 314,482.50 and 418,990.50

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Solution

The third proportional to 314,482.50 and 418,990.50 is: 558,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,482.50 : 418,990.50 = 418,990.50 : x
  2. Step 2: Convert to fraction form
    314,482.50/418,990.50 = 418,990.50/x
  3. Step 3: Cross multiply
    314,482.50x = 418,990.50 × 418,990.50
  4. Step 4: Simplify right side
    314,482.50x = 175,553,039,090.25
  5. Step 5: Solve for x
    x = 175,553,039,090.25/314,482.50
  6. Step 6: Final answer
    x = 558,228.32

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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.