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Finding the Third Proportional to 368,560 and 774,260

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Solution

The third proportional to 368,560 and 774,260 is: 1,626,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,560 : 774,260 = 774,260 : x
  2. Step 2: Convert to fraction form
    368,560/774,260 = 774,260/x
  3. Step 3: Cross multiply
    368,560x = 774,260 × 774,260
  4. Step 4: Simplify right side
    368,560x = 599,478,547,600
  5. Step 5: Solve for x
    x = 599,478,547,600/368,560
  6. Step 6: Final answer
    x = 1,626,542.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.