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Finding the Third Proportional to 387,900 and 596,025

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Solution

The third proportional to 387,900 and 596,025 is: 915,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,900 : 596,025 = 596,025 : x
  2. Step 2: Convert to fraction form
    387,900/596,025 = 596,025/x
  3. Step 3: Cross multiply
    387,900x = 596,025 × 596,025
  4. Step 4: Simplify right side
    387,900x = 355,245,800,625
  5. Step 5: Solve for x
    x = 355,245,800,625/387,900
  6. Step 6: Final answer
    x = 915,818.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.