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Finding the Third Proportional to 264,610 and 569,156

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Solution

The third proportional to 264,610 and 569,156 is: 1,224,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,610 : 569,156 = 569,156 : x
  2. Step 2: Convert to fraction form
    264,610/569,156 = 569,156/x
  3. Step 3: Cross multiply
    264,610x = 569,156 × 569,156
  4. Step 4: Simplify right side
    264,610x = 323,938,552,336
  5. Step 5: Solve for x
    x = 323,938,552,336/264,610
  6. Step 6: Final answer
    x = 1,224,211.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.