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Finding the Third Proportional to 580,468 and 896,582

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Solution

The third proportional to 580,468 and 896,582 is: 1,384,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,468 : 896,582 = 896,582 : x
  2. Step 2: Convert to fraction form
    580,468/896,582 = 896,582/x
  3. Step 3: Cross multiply
    580,468x = 896,582 × 896,582
  4. Step 4: Simplify right side
    580,468x = 803,859,282,724
  5. Step 5: Solve for x
    x = 803,859,282,724/580,468
  6. Step 6: Final answer
    x = 1,384,846.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.