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Finding the Third Proportional to 359,531 and 780,176

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Solution

The third proportional to 359,531 and 780,176 is: 1,692,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,531 : 780,176 = 780,176 : x
  2. Step 2: Convert to fraction form
    359,531/780,176 = 780,176/x
  3. Step 3: Cross multiply
    359,531x = 780,176 × 780,176
  4. Step 4: Simplify right side
    359,531x = 608,674,590,976
  5. Step 5: Solve for x
    x = 608,674,590,976/359,531
  6. Step 6: Final answer
    x = 1,692,968.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.