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Finding the Third Proportional to 295,300 and 446,476

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Solution

The third proportional to 295,300 and 446,476 is: 675,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,300 : 446,476 = 446,476 : x
  2. Step 2: Convert to fraction form
    295,300/446,476 = 446,476/x
  3. Step 3: Cross multiply
    295,300x = 446,476 × 446,476
  4. Step 4: Simplify right side
    295,300x = 199,340,818,576
  5. Step 5: Solve for x
    x = 199,340,818,576/295,300
  6. Step 6: Final answer
    x = 675,045.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.