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Finding the Third Proportional to 359,271.75 and 499,533.75

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Solution

The third proportional to 359,271.75 and 499,533.75 is: 694,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,271.75 : 499,533.75 = 499,533.75 : x
  2. Step 2: Convert to fraction form
    359,271.75/499,533.75 = 499,533.75/x
  3. Step 3: Cross multiply
    359,271.75x = 499,533.75 × 499,533.75
  4. Step 4: Simplify right side
    359,271.75x = 249,533,967,389.06
  5. Step 5: Solve for x
    x = 249,533,967,389.06/359,271.75
  6. Step 6: Final answer
    x = 694,554.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.