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Finding the Third Proportional to 354,913 and 774,057

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Solution

The third proportional to 354,913 and 774,057 is: 1,688,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,913 : 774,057 = 774,057 : x
  2. Step 2: Convert to fraction form
    354,913/774,057 = 774,057/x
  3. Step 3: Cross multiply
    354,913x = 774,057 × 774,057
  4. Step 4: Simplify right side
    354,913x = 599,164,239,249
  5. Step 5: Solve for x
    x = 599,164,239,249/354,913
  6. Step 6: Final answer
    x = 1,688,200.32

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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.