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Finding the Third Proportional to 243,406 and 524,261

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Solution

The third proportional to 243,406 and 524,261 is: 1,129,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,406 : 524,261 = 524,261 : x
  2. Step 2: Convert to fraction form
    243,406/524,261 = 524,261/x
  3. Step 3: Cross multiply
    243,406x = 524,261 × 524,261
  4. Step 4: Simplify right side
    243,406x = 274,849,596,121
  5. Step 5: Solve for x
    x = 274,849,596,121/243,406
  6. Step 6: Final answer
    x = 1,129,181.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.