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Finding the Third Proportional to 355,581 and 777,582

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Solution

The third proportional to 355,581 and 777,582 is: 1,700,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,581 : 777,582 = 777,582 : x
  2. Step 2: Convert to fraction form
    355,581/777,582 = 777,582/x
  3. Step 3: Cross multiply
    355,581x = 777,582 × 777,582
  4. Step 4: Simplify right side
    355,581x = 604,633,766,724
  5. Step 5: Solve for x
    x = 604,633,766,724/355,581
  6. Step 6: Final answer
    x = 1,700,410.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.