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Finding the Third Proportional to 245,829 and 534,919

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Solution

The third proportional to 245,829 and 534,919 is: 1,163,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,829 : 534,919 = 534,919 : x
  2. Step 2: Convert to fraction form
    245,829/534,919 = 534,919/x
  3. Step 3: Cross multiply
    245,829x = 534,919 × 534,919
  4. Step 4: Simplify right side
    245,829x = 286,138,336,561
  5. Step 5: Solve for x
    x = 286,138,336,561/245,829
  6. Step 6: Final answer
    x = 1,163,973.07

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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.