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Finding the Third Proportional to 241,460 and 524,473

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Solution

The third proportional to 241,460 and 524,473 is: 1,139,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,460 : 524,473 = 524,473 : x
  2. Step 2: Convert to fraction form
    241,460/524,473 = 524,473/x
  3. Step 3: Cross multiply
    241,460x = 524,473 × 524,473
  4. Step 4: Simplify right side
    241,460x = 275,071,927,729
  5. Step 5: Solve for x
    x = 275,071,927,729/241,460
  6. Step 6: Final answer
    x = 1,139,202.88

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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.