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Finding the Third Proportional to 360,926.50 and 504,582.50

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Solution

The third proportional to 360,926.50 and 504,582.50 is: 705,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,926.50 : 504,582.50 = 504,582.50 : x
  2. Step 2: Convert to fraction form
    360,926.50/504,582.50 = 504,582.50/x
  3. Step 3: Cross multiply
    360,926.50x = 504,582.50 × 504,582.50
  4. Step 4: Simplify right side
    360,926.50x = 254,603,499,306.25
  5. Step 5: Solve for x
    x = 254,603,499,306.25/360,926.50
  6. Step 6: Final answer
    x = 705,416.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.