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Finding the Third Proportional to 576,244 and 872,316

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Solution

The third proportional to 576,244 and 872,316 is: 1,320,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,244 : 872,316 = 872,316 : x
  2. Step 2: Convert to fraction form
    576,244/872,316 = 872,316/x
  3. Step 3: Cross multiply
    576,244x = 872,316 × 872,316
  4. Step 4: Simplify right side
    576,244x = 760,935,203,856
  5. Step 5: Solve for x
    x = 760,935,203,856/576,244
  6. Step 6: Final answer
    x = 1,320,508.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.