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Finding the Third Proportional to 262,242 and 574,528

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Solution

The third proportional to 262,242 and 574,528 is: 1,258,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,242 : 574,528 = 574,528 : x
  2. Step 2: Convert to fraction form
    262,242/574,528 = 574,528/x
  3. Step 3: Cross multiply
    262,242x = 574,528 × 574,528
  4. Step 4: Simplify right side
    262,242x = 330,082,422,784
  5. Step 5: Solve for x
    x = 330,082,422,784/262,242
  6. Step 6: Final answer
    x = 1,258,693.97

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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.