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Finding the Third Proportional to 259,604 and 563,495

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Solution

The third proportional to 259,604 and 563,495 is: 1,223,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,604 : 563,495 = 563,495 : x
  2. Step 2: Convert to fraction form
    259,604/563,495 = 563,495/x
  3. Step 3: Cross multiply
    259,604x = 563,495 × 563,495
  4. Step 4: Simplify right side
    259,604x = 317,526,615,025
  5. Step 5: Solve for x
    x = 317,526,615,025/259,604
  6. Step 6: Final answer
    x = 1,223,119.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.