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Finding the Third Proportional to 249,609 and 538,581

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Solution

The third proportional to 249,609 and 538,581 is: 1,162,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,609 : 538,581 = 538,581 : x
  2. Step 2: Convert to fraction form
    249,609/538,581 = 538,581/x
  3. Step 3: Cross multiply
    249,609x = 538,581 × 538,581
  4. Step 4: Simplify right side
    249,609x = 290,069,493,561
  5. Step 5: Solve for x
    x = 290,069,493,561/249,609
  6. Step 6: Final answer
    x = 1,162,095.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.