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Finding the Third Proportional to 240,804 and 527,283

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Solution

The third proportional to 240,804 and 527,283 is: 1,154,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,804 : 527,283 = 527,283 : x
  2. Step 2: Convert to fraction form
    240,804/527,283 = 527,283/x
  3. Step 3: Cross multiply
    240,804x = 527,283 × 527,283
  4. Step 4: Simplify right side
    240,804x = 278,027,362,089
  5. Step 5: Solve for x
    x = 278,027,362,089/240,804
  6. Step 6: Final answer
    x = 1,154,579.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.