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Finding the Third Proportional to 378,368 and 812,500

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Solution

The third proportional to 378,368 and 812,500 is: 1,744,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,368 : 812,500 = 812,500 : x
  2. Step 2: Convert to fraction form
    378,368/812,500 = 812,500/x
  3. Step 3: Cross multiply
    378,368x = 812,500 × 812,500
  4. Step 4: Simplify right side
    378,368x = 660,156,250,000
  5. Step 5: Solve for x
    x = 660,156,250,000/378,368
  6. Step 6: Final answer
    x = 1,744,746.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.