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Finding the Third Proportional to 245,881 and 536,445

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Solution

The third proportional to 245,881 and 536,445 is: 1,170,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,881 : 536,445 = 536,445 : x
  2. Step 2: Convert to fraction form
    245,881/536,445 = 536,445/x
  3. Step 3: Cross multiply
    245,881x = 536,445 × 536,445
  4. Step 4: Simplify right side
    245,881x = 287,773,238,025
  5. Step 5: Solve for x
    x = 287,773,238,025/245,881
  6. Step 6: Final answer
    x = 1,170,376.07

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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.