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Finding the Third Proportional to 245,859 and 536,398.50

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Solution

The third proportional to 245,859 and 536,398.50 is: 1,170,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,859 : 536,398.50 = 536,398.50 : x
  2. Step 2: Convert to fraction form
    245,859/536,398.50 = 536,398.50/x
  3. Step 3: Cross multiply
    245,859x = 536,398.50 × 536,398.50
  4. Step 4: Simplify right side
    245,859x = 287,723,350,802.25
  5. Step 5: Solve for x
    x = 287,723,350,802.25/245,859
  6. Step 6: Final answer
    x = 1,170,277.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.