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Finding the Third Proportional to 387,808 and 595,888

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Solution

The third proportional to 387,808 and 595,888 is: 915,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,808 : 595,888 = 595,888 : x
  2. Step 2: Convert to fraction form
    387,808/595,888 = 595,888/x
  3. Step 3: Cross multiply
    387,808x = 595,888 × 595,888
  4. Step 4: Simplify right side
    387,808x = 355,082,508,544
  5. Step 5: Solve for x
    x = 355,082,508,544/387,808
  6. Step 6: Final answer
    x = 915,614.19

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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.