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Finding the Third Proportional to 580,118 and 896,416

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Solution

The third proportional to 580,118 and 896,416 is: 1,385,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,118 : 896,416 = 896,416 : x
  2. Step 2: Convert to fraction form
    580,118/896,416 = 896,416/x
  3. Step 3: Cross multiply
    580,118x = 896,416 × 896,416
  4. Step 4: Simplify right side
    580,118x = 803,561,645,056
  5. Step 5: Solve for x
    x = 803,561,645,056/580,118
  6. Step 6: Final answer
    x = 1,385,169.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.