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Finding the Third Proportional to 249,026 and 533,044

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Solution

The third proportional to 249,026 and 533,044 is: 1,140,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,026 : 533,044 = 533,044 : x
  2. Step 2: Convert to fraction form
    249,026/533,044 = 533,044/x
  3. Step 3: Cross multiply
    249,026x = 533,044 × 533,044
  4. Step 4: Simplify right side
    249,026x = 284,135,905,936
  5. Step 5: Solve for x
    x = 284,135,905,936/249,026
  6. Step 6: Final answer
    x = 1,140,988.92

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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.