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Finding the Third Proportional to 359,285.63 and 782,358.56

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Solution

The third proportional to 359,285.63 and 782,358.56 is: 1,703,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,285.63 : 782,358.56 = 782,358.56 : x
  2. Step 2: Convert to fraction form
    359,285.63/782,358.56 = 782,358.56/x
  3. Step 3: Cross multiply
    359,285.63x = 782,358.56 × 782,358.56
  4. Step 4: Simplify right side
    359,285.63x = 612,084,920,317.07
  5. Step 5: Solve for x
    x = 612,084,920,317.07/359,285.63
  6. Step 6: Final answer
    x = 1,703,616.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.