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Finding the Third Proportional to 264,612 and 569,160

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Solution

The third proportional to 264,612 and 569,160 is: 1,224,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,612 : 569,160 = 569,160 : x
  2. Step 2: Convert to fraction form
    264,612/569,160 = 569,160/x
  3. Step 3: Cross multiply
    264,612x = 569,160 × 569,160
  4. Step 4: Simplify right side
    264,612x = 323,943,105,600
  5. Step 5: Solve for x
    x = 323,943,105,600/264,612
  6. Step 6: Final answer
    x = 1,224,219.26

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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.