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Finding the Third Proportional to 295,624 and 450,820

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Solution

The third proportional to 295,624 and 450,820 is: 687,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,624 : 450,820 = 450,820 : x
  2. Step 2: Convert to fraction form
    295,624/450,820 = 450,820/x
  3. Step 3: Cross multiply
    295,624x = 450,820 × 450,820
  4. Step 4: Simplify right side
    295,624x = 203,238,672,400
  5. Step 5: Solve for x
    x = 203,238,672,400/295,624
  6. Step 6: Final answer
    x = 687,490.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.