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Finding the Third Proportional to 522,798 and 774,480

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Solution

The third proportional to 522,798 and 774,480 is: 1,147,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,798 : 774,480 = 774,480 : x
  2. Step 2: Convert to fraction form
    522,798/774,480 = 774,480/x
  3. Step 3: Cross multiply
    522,798x = 774,480 × 774,480
  4. Step 4: Simplify right side
    522,798x = 599,819,270,400
  5. Step 5: Solve for x
    x = 599,819,270,400/522,798
  6. Step 6: Final answer
    x = 1,147,325.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.