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Finding the Third Proportional to 359,590.50 and 775,226.25

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Solution

The third proportional to 359,590.50 and 775,226.25 is: 1,671,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,590.50 : 775,226.25 = 775,226.25 : x
  2. Step 2: Convert to fraction form
    359,590.50/775,226.25 = 775,226.25/x
  3. Step 3: Cross multiply
    359,590.50x = 775,226.25 × 775,226.25
  4. Step 4: Simplify right side
    359,590.50x = 600,975,738,689.06
  5. Step 5: Solve for x
    x = 600,975,738,689.06/359,590.50
  6. Step 6: Final answer
    x = 1,671,278.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.