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Finding the Third Proportional to 359,724 and 775,545

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Solution

The third proportional to 359,724 and 775,545 is: 1,672,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,724 : 775,545 = 775,545 : x
  2. Step 2: Convert to fraction form
    359,724/775,545 = 775,545/x
  3. Step 3: Cross multiply
    359,724x = 775,545 × 775,545
  4. Step 4: Simplify right side
    359,724x = 601,470,047,025
  5. Step 5: Solve for x
    x = 601,470,047,025/359,724
  6. Step 6: Final answer
    x = 1,672,032.02

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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.