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Finding the Third Proportional to 359,664 and 537,025

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Solution

The third proportional to 359,664 and 537,025 is: 801,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,664 : 537,025 = 537,025 : x
  2. Step 2: Convert to fraction form
    359,664/537,025 = 537,025/x
  3. Step 3: Cross multiply
    359,664x = 537,025 × 537,025
  4. Step 4: Simplify right side
    359,664x = 288,395,850,625
  5. Step 5: Solve for x
    x = 288,395,850,625/359,664
  6. Step 6: Final answer
    x = 801,847.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.