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Finding the Third Proportional to 249,032 and 533,052

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Solution

The third proportional to 249,032 and 533,052 is: 1,140,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,032 : 533,052 = 533,052 : x
  2. Step 2: Convert to fraction form
    249,032/533,052 = 533,052/x
  3. Step 3: Cross multiply
    249,032x = 533,052 × 533,052
  4. Step 4: Simplify right side
    249,032x = 284,144,434,704
  5. Step 5: Solve for x
    x = 284,144,434,704/249,032
  6. Step 6: Final answer
    x = 1,140,995.67

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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.