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Finding the Third Proportional to 359,401 and 532,095

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Solution

The third proportional to 359,401 and 532,095 is: 787,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,401 : 532,095 = 532,095 : x
  2. Step 2: Convert to fraction form
    359,401/532,095 = 532,095/x
  3. Step 3: Cross multiply
    359,401x = 532,095 × 532,095
  4. Step 4: Simplify right side
    359,401x = 283,125,089,025
  5. Step 5: Solve for x
    x = 283,125,089,025/359,401
  6. Step 6: Final answer
    x = 787,769.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.