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Finding the Third Proportional to 264,116 and 575,389

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Solution

The third proportional to 264,116 and 575,389 is: 1,253,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,116 : 575,389 = 575,389 : x
  2. Step 2: Convert to fraction form
    264,116/575,389 = 575,389/x
  3. Step 3: Cross multiply
    264,116x = 575,389 × 575,389
  4. Step 4: Simplify right side
    264,116x = 331,072,501,321
  5. Step 5: Solve for x
    x = 331,072,501,321/264,116
  6. Step 6: Final answer
    x = 1,253,511.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.