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Finding the Third Proportional to 249,646 and 520,028

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Solution

The third proportional to 249,646 and 520,028 is: 1,083,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,646 : 520,028 = 520,028 : x
  2. Step 2: Convert to fraction form
    249,646/520,028 = 520,028/x
  3. Step 3: Cross multiply
    249,646x = 520,028 × 520,028
  4. Step 4: Simplify right side
    249,646x = 270,429,120,784
  5. Step 5: Solve for x
    x = 270,429,120,784/249,646
  6. Step 6: Final answer
    x = 1,083,250.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.