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Finding the Third Proportional to 355,476 and 779,836

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Solution

The third proportional to 355,476 and 779,836 is: 1,710,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,476 : 779,836 = 779,836 : x
  2. Step 2: Convert to fraction form
    355,476/779,836 = 779,836/x
  3. Step 3: Cross multiply
    355,476x = 779,836 × 779,836
  4. Step 4: Simplify right side
    355,476x = 608,144,186,896
  5. Step 5: Solve for x
    x = 608,144,186,896/355,476
  6. Step 6: Final answer
    x = 1,710,788.31

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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.