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Finding the Third Proportional to 588,090 and 879,819

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Solution

The third proportional to 588,090 and 879,819 is: 1,316,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,090 : 879,819 = 879,819 : x
  2. Step 2: Convert to fraction form
    588,090/879,819 = 879,819/x
  3. Step 3: Cross multiply
    588,090x = 879,819 × 879,819
  4. Step 4: Simplify right side
    588,090x = 774,081,472,761
  5. Step 5: Solve for x
    x = 774,081,472,761/588,090
  6. Step 6: Final answer
    x = 1,316,263.62

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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.