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Finding the Third Proportional to 580,551 and 896,712

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Solution

The third proportional to 580,551 and 896,712 is: 1,385,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,551 : 896,712 = 896,712 : x
  2. Step 2: Convert to fraction form
    580,551/896,712 = 896,712/x
  3. Step 3: Cross multiply
    580,551x = 896,712 × 896,712
  4. Step 4: Simplify right side
    580,551x = 804,092,410,944
  5. Step 5: Solve for x
    x = 804,092,410,944/580,551
  6. Step 6: Final answer
    x = 1,385,050.43

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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.