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Finding the Third Proportional to 249,445 and 443,485

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Solution

The third proportional to 249,445 and 443,485 is: 788,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,445 : 443,485 = 443,485 : x
  2. Step 2: Convert to fraction form
    249,445/443,485 = 443,485/x
  3. Step 3: Cross multiply
    249,445x = 443,485 × 443,485
  4. Step 4: Simplify right side
    249,445x = 196,678,945,225
  5. Step 5: Solve for x
    x = 196,678,945,225/249,445
  6. Step 6: Final answer
    x = 788,466.18

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.