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Finding the Third Proportional to 295,475 and 443,122

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Solution

The third proportional to 295,475 and 443,122 is: 664,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,475 : 443,122 = 443,122 : x
  2. Step 2: Convert to fraction form
    295,475/443,122 = 443,122/x
  3. Step 3: Cross multiply
    295,475x = 443,122 × 443,122
  4. Step 4: Simplify right side
    295,475x = 196,357,106,884
  5. Step 5: Solve for x
    x = 196,357,106,884/295,475
  6. Step 6: Final answer
    x = 664,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.