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Finding the Third Proportional to 249,230 and 533,897

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Solution

The third proportional to 249,230 and 533,897 is: 1,143,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,230 : 533,897 = 533,897 : x
  2. Step 2: Convert to fraction form
    249,230/533,897 = 533,897/x
  3. Step 3: Cross multiply
    249,230x = 533,897 × 533,897
  4. Step 4: Simplify right side
    249,230x = 285,046,006,609
  5. Step 5: Solve for x
    x = 285,046,006,609/249,230
  6. Step 6: Final answer
    x = 1,143,706.64

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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.