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Finding the Third Proportional to 249,017 and 533,026

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Solution

The third proportional to 249,017 and 533,026 is: 1,140,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,017 : 533,026 = 533,026 : x
  2. Step 2: Convert to fraction form
    249,017/533,026 = 533,026/x
  3. Step 3: Cross multiply
    249,017x = 533,026 × 533,026
  4. Step 4: Simplify right side
    249,017x = 284,116,716,676
  5. Step 5: Solve for x
    x = 284,116,716,676/249,017
  6. Step 6: Final answer
    x = 1,140,953.09

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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.