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Finding the Third Proportional to 249,433 and 547,158

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Solution

The third proportional to 249,433 and 547,158 is: 1,200,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,433 : 547,158 = 547,158 : x
  2. Step 2: Convert to fraction form
    249,433/547,158 = 547,158/x
  3. Step 3: Cross multiply
    249,433x = 547,158 × 547,158
  4. Step 4: Simplify right side
    249,433x = 299,381,876,964
  5. Step 5: Solve for x
    x = 299,381,876,964/249,433
  6. Step 6: Final answer
    x = 1,200,249.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.