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Finding the Third Proportional to 590,986 and 865,513

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Solution

The third proportional to 590,986 and 865,513 is: 1,267,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,986 : 865,513 = 865,513 : x
  2. Step 2: Convert to fraction form
    590,986/865,513 = 865,513/x
  3. Step 3: Cross multiply
    590,986x = 865,513 × 865,513
  4. Step 4: Simplify right side
    590,986x = 749,112,753,169
  5. Step 5: Solve for x
    x = 749,112,753,169/590,986
  6. Step 6: Final answer
    x = 1,267,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.