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Finding the Third Proportional to 430,288 and 879,584

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Solution

The third proportional to 430,288 and 879,584 is: 1,798,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,288 : 879,584 = 879,584 : x
  2. Step 2: Convert to fraction form
    430,288/879,584 = 879,584/x
  3. Step 3: Cross multiply
    430,288x = 879,584 × 879,584
  4. Step 4: Simplify right side
    430,288x = 773,668,013,056
  5. Step 5: Solve for x
    x = 773,668,013,056/430,288
  6. Step 6: Final answer
    x = 1,798,023.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.