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Finding the Third Proportional to 359,818 and 528,057

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Solution

The third proportional to 359,818 and 528,057 is: 774,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,818 : 528,057 = 528,057 : x
  2. Step 2: Convert to fraction form
    359,818/528,057 = 528,057/x
  3. Step 3: Cross multiply
    359,818x = 528,057 × 528,057
  4. Step 4: Simplify right side
    359,818x = 278,844,195,249
  5. Step 5: Solve for x
    x = 278,844,195,249/359,818
  6. Step 6: Final answer
    x = 774,958.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.