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Finding the Third Proportional to 249,225.75 and 533,889

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Solution

The third proportional to 249,225.75 and 533,889 is: 1,143,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,225.75 : 533,889 = 533,889 : x
  2. Step 2: Convert to fraction form
    249,225.75/533,889 = 533,889/x
  3. Step 3: Cross multiply
    249,225.75x = 533,889 × 533,889
  4. Step 4: Simplify right side
    249,225.75x = 285,037,464,321
  5. Step 5: Solve for x
    x = 285,037,464,321/249,225.75
  6. Step 6: Final answer
    x = 1,143,691.87

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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.