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Finding the Third Proportional to 264,968 and 558,076

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Solution

The third proportional to 264,968 and 558,076 is: 1,175,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,968 : 558,076 = 558,076 : x
  2. Step 2: Convert to fraction form
    264,968/558,076 = 558,076/x
  3. Step 3: Cross multiply
    264,968x = 558,076 × 558,076
  4. Step 4: Simplify right side
    264,968x = 311,448,821,776
  5. Step 5: Solve for x
    x = 311,448,821,776/264,968
  6. Step 6: Final answer
    x = 1,175,420.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.