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Finding the Third Proportional to 443,152 and 645,351

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Solution

The third proportional to 443,152 and 645,351 is: 939,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,152 : 645,351 = 645,351 : x
  2. Step 2: Convert to fraction form
    443,152/645,351 = 645,351/x
  3. Step 3: Cross multiply
    443,152x = 645,351 × 645,351
  4. Step 4: Simplify right side
    443,152x = 416,477,913,201
  5. Step 5: Solve for x
    x = 416,477,913,201/443,152
  6. Step 6: Final answer
    x = 939,808.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.