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Finding the Third Proportional to 249,604 and 538,573

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Solution

The third proportional to 249,604 and 538,573 is: 1,162,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,604 : 538,573 = 538,573 : x
  2. Step 2: Convert to fraction form
    249,604/538,573 = 538,573/x
  3. Step 3: Cross multiply
    249,604x = 538,573 × 538,573
  4. Step 4: Simplify right side
    249,604x = 290,060,876,329
  5. Step 5: Solve for x
    x = 290,060,876,329/249,604
  6. Step 6: Final answer
    x = 1,162,084.25

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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.