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Finding the Third Proportional to 241,457 and 524,437

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Solution

The third proportional to 241,457 and 524,437 is: 1,139,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,457 : 524,437 = 524,437 : x
  2. Step 2: Convert to fraction form
    241,457/524,437 = 524,437/x
  3. Step 3: Cross multiply
    241,457x = 524,437 × 524,437
  4. Step 4: Simplify right side
    241,457x = 275,034,166,969
  5. Step 5: Solve for x
    x = 275,034,166,969/241,457
  6. Step 6: Final answer
    x = 1,139,060.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.