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Finding the Third Proportional to 359,498 and 550,155

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Solution

The third proportional to 359,498 and 550,155 is: 841,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,498 : 550,155 = 550,155 : x
  2. Step 2: Convert to fraction form
    359,498/550,155 = 550,155/x
  3. Step 3: Cross multiply
    359,498x = 550,155 × 550,155
  4. Step 4: Simplify right side
    359,498x = 302,670,524,025
  5. Step 5: Solve for x
    x = 302,670,524,025/359,498
  6. Step 6: Final answer
    x = 841,925.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.