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Finding the Third Proportional to 599,258 and 807,388

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Solution

The third proportional to 599,258 and 807,388 is: 1,087,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,258 : 807,388 = 807,388 : x
  2. Step 2: Convert to fraction form
    599,258/807,388 = 807,388/x
  3. Step 3: Cross multiply
    599,258x = 807,388 × 807,388
  4. Step 4: Simplify right side
    599,258x = 651,875,382,544
  5. Step 5: Solve for x
    x = 651,875,382,544/599,258
  6. Step 6: Final answer
    x = 1,087,804.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.