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Finding the Third Proportional to 596,888 and 925,592

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Solution

The third proportional to 596,888 and 925,592 is: 1,435,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,888 : 925,592 = 925,592 : x
  2. Step 2: Convert to fraction form
    596,888/925,592 = 925,592/x
  3. Step 3: Cross multiply
    596,888x = 925,592 × 925,592
  4. Step 4: Simplify right side
    596,888x = 856,720,550,464
  5. Step 5: Solve for x
    x = 856,720,550,464/596,888
  6. Step 6: Final answer
    x = 1,435,312.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.