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Finding the Third Proportional to 576,588 and 879,097

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Solution

The third proportional to 576,588 and 879,097 is: 1,340,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,588 : 879,097 = 879,097 : x
  2. Step 2: Convert to fraction form
    576,588/879,097 = 879,097/x
  3. Step 3: Cross multiply
    576,588x = 879,097 × 879,097
  4. Step 4: Simplify right side
    576,588x = 772,811,535,409
  5. Step 5: Solve for x
    x = 772,811,535,409/576,588
  6. Step 6: Final answer
    x = 1,340,318.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.