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Finding the Third Proportional to 264,060 and 569,187

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Solution

The third proportional to 264,060 and 569,187 is: 1,226,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,060 : 569,187 = 569,187 : x
  2. Step 2: Convert to fraction form
    264,060/569,187 = 569,187/x
  3. Step 3: Cross multiply
    264,060x = 569,187 × 569,187
  4. Step 4: Simplify right side
    264,060x = 323,973,840,969
  5. Step 5: Solve for x
    x = 323,973,840,969/264,060
  6. Step 6: Final answer
    x = 1,226,894.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.