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Finding the Third Proportional to 596,025 and 895,374

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Solution

The third proportional to 596,025 and 895,374 is: 1,345,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,025 : 895,374 = 895,374 : x
  2. Step 2: Convert to fraction form
    596,025/895,374 = 895,374/x
  3. Step 3: Cross multiply
    596,025x = 895,374 × 895,374
  4. Step 4: Simplify right side
    596,025x = 801,694,599,876
  5. Step 5: Solve for x
    x = 801,694,599,876/596,025
  6. Step 6: Final answer
    x = 1,345,068.75

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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.