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Finding the Third Proportional to 259,506 and 563,319

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Solution

The third proportional to 259,506 and 563,319 is: 1,222,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,506 : 563,319 = 563,319 : x
  2. Step 2: Convert to fraction form
    259,506/563,319 = 563,319/x
  3. Step 3: Cross multiply
    259,506x = 563,319 × 563,319
  4. Step 4: Simplify right side
    259,506x = 317,328,295,761
  5. Step 5: Solve for x
    x = 317,328,295,761/259,506
  6. Step 6: Final answer
    x = 1,222,816.80

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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.