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Finding the Third Proportional to 556,645 and 833,500

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Solution

The third proportional to 556,645 and 833,500 is: 1,248,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,645 : 833,500 = 833,500 : x
  2. Step 2: Convert to fraction form
    556,645/833,500 = 833,500/x
  3. Step 3: Cross multiply
    556,645x = 833,500 × 833,500
  4. Step 4: Simplify right side
    556,645x = 694,722,250,000
  5. Step 5: Solve for x
    x = 694,722,250,000/556,645
  6. Step 6: Final answer
    x = 1,248,052.62

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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.