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Finding the Third Proportional to 264,970 and 574,369

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Solution

The third proportional to 264,970 and 574,369 is: 1,245,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,970 : 574,369 = 574,369 : x
  2. Step 2: Convert to fraction form
    264,970/574,369 = 574,369/x
  3. Step 3: Cross multiply
    264,970x = 574,369 × 574,369
  4. Step 4: Simplify right side
    264,970x = 329,899,748,161
  5. Step 5: Solve for x
    x = 329,899,748,161/264,970
  6. Step 6: Final answer
    x = 1,245,045.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.