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Finding the Third Proportional to 297,528 and 655,410

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Solution

The third proportional to 297,528 and 655,410 is: 1,443,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,528 : 655,410 = 655,410 : x
  2. Step 2: Convert to fraction form
    297,528/655,410 = 655,410/x
  3. Step 3: Cross multiply
    297,528x = 655,410 × 655,410
  4. Step 4: Simplify right side
    297,528x = 429,562,268,100
  5. Step 5: Solve for x
    x = 429,562,268,100/297,528
  6. Step 6: Final answer
    x = 1,443,770.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.