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Finding the Third Proportional to 379,213 and 810,913.50

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Solution

The third proportional to 379,213 and 810,913.50 is: 1,734,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,213 : 810,913.50 = 810,913.50 : x
  2. Step 2: Convert to fraction form
    379,213/810,913.50 = 810,913.50/x
  3. Step 3: Cross multiply
    379,213x = 810,913.50 × 810,913.50
  4. Step 4: Simplify right side
    379,213x = 657,580,704,482.25
  5. Step 5: Solve for x
    x = 657,580,704,482.25/379,213
  6. Step 6: Final answer
    x = 1,734,066.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.