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Finding the Third Proportional to 264,650 and 563,437

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Solution

The third proportional to 264,650 and 563,437 is: 1,199,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,650 : 563,437 = 563,437 : x
  2. Step 2: Convert to fraction form
    264,650/563,437 = 563,437/x
  3. Step 3: Cross multiply
    264,650x = 563,437 × 563,437
  4. Step 4: Simplify right side
    264,650x = 317,461,252,969
  5. Step 5: Solve for x
    x = 317,461,252,969/264,650
  6. Step 6: Final answer
    x = 1,199,551.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.