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Finding the Third Proportional to 249,662 and 534,316

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Solution

The third proportional to 249,662 and 534,316 is: 1,143,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,662 : 534,316 = 534,316 : x
  2. Step 2: Convert to fraction form
    249,662/534,316 = 534,316/x
  3. Step 3: Cross multiply
    249,662x = 534,316 × 534,316
  4. Step 4: Simplify right side
    249,662x = 285,493,587,856
  5. Step 5: Solve for x
    x = 285,493,587,856/249,662
  6. Step 6: Final answer
    x = 1,143,520.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.