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Finding the Third Proportional to 580,478 and 896,597

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Solution

The third proportional to 580,478 and 896,597 is: 1,384,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,478 : 896,597 = 896,597 : x
  2. Step 2: Convert to fraction form
    580,478/896,597 = 896,597/x
  3. Step 3: Cross multiply
    580,478x = 896,597 × 896,597
  4. Step 4: Simplify right side
    580,478x = 803,886,180,409
  5. Step 5: Solve for x
    x = 803,886,180,409/580,478
  6. Step 6: Final answer
    x = 1,384,869.33

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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.