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Finding the Third Proportional to 245,830 and 534,922

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Solution

The third proportional to 245,830 and 534,922 is: 1,163,981.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,830 : 534,922 = 534,922 : x
  2. Step 2: Convert to fraction form
    245,830/534,922 = 534,922/x
  3. Step 3: Cross multiply
    245,830x = 534,922 × 534,922
  4. Step 4: Simplify right side
    245,830x = 286,141,546,084
  5. Step 5: Solve for x
    x = 286,141,546,084/245,830
  6. Step 6: Final answer
    x = 1,163,981.39

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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.