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Finding the Third Proportional to 245,829 and 534,920

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Solution

The third proportional to 245,829 and 534,920 is: 1,163,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,829 : 534,920 = 534,920 : x
  2. Step 2: Convert to fraction form
    245,829/534,920 = 534,920/x
  3. Step 3: Cross multiply
    245,829x = 534,920 × 534,920
  4. Step 4: Simplify right side
    245,829x = 286,139,406,400
  5. Step 5: Solve for x
    x = 286,139,406,400/245,829
  6. Step 6: Final answer
    x = 1,163,977.42

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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.