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Finding the Third Proportional to 249,445 and 547,176

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Solution

The third proportional to 249,445 and 547,176 is: 1,200,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,445 : 547,176 = 547,176 : x
  2. Step 2: Convert to fraction form
    249,445/547,176 = 547,176/x
  3. Step 3: Cross multiply
    249,445x = 547,176 × 547,176
  4. Step 4: Simplify right side
    249,445x = 299,401,574,976
  5. Step 5: Solve for x
    x = 299,401,574,976/249,445
  6. Step 6: Final answer
    x = 1,200,270.90

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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.