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Finding the Third Proportional to 263,428 and 577,030

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Solution

The third proportional to 263,428 and 577,030 is: 1,263,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,428 : 577,030 = 577,030 : x
  2. Step 2: Convert to fraction form
    263,428/577,030 = 577,030/x
  3. Step 3: Cross multiply
    263,428x = 577,030 × 577,030
  4. Step 4: Simplify right side
    263,428x = 332,963,620,900
  5. Step 5: Solve for x
    x = 332,963,620,900/263,428
  6. Step 6: Final answer
    x = 1,263,964.43

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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.