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Finding the Third Proportional to 402,684 and 563,278

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Solution

The third proportional to 402,684 and 563,278 is: 787,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,684 : 563,278 = 563,278 : x
  2. Step 2: Convert to fraction form
    402,684/563,278 = 563,278/x
  3. Step 3: Cross multiply
    402,684x = 563,278 × 563,278
  4. Step 4: Simplify right side
    402,684x = 317,282,105,284
  5. Step 5: Solve for x
    x = 317,282,105,284/402,684
  6. Step 6: Final answer
    x = 787,918.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.