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Finding the Third Proportional to 359,724 and 777,084

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Solution

The third proportional to 359,724 and 777,084 is: 1,678,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,724 : 777,084 = 777,084 : x
  2. Step 2: Convert to fraction form
    359,724/777,084 = 777,084/x
  3. Step 3: Cross multiply
    359,724x = 777,084 × 777,084
  4. Step 4: Simplify right side
    359,724x = 603,859,543,056
  5. Step 5: Solve for x
    x = 603,859,543,056/359,724
  6. Step 6: Final answer
    x = 1,678,674.60

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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.