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Finding the Third Proportional to 558,000 and 834,804

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Solution

The third proportional to 558,000 and 834,804 is: 1,248,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,000 : 834,804 = 834,804 : x
  2. Step 2: Convert to fraction form
    558,000/834,804 = 834,804/x
  3. Step 3: Cross multiply
    558,000x = 834,804 × 834,804
  4. Step 4: Simplify right side
    558,000x = 696,897,718,416
  5. Step 5: Solve for x
    x = 696,897,718,416/558,000
  6. Step 6: Final answer
    x = 1,248,920.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.