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Finding the Third Proportional to 349,803 and 773,113.50

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Solution

The third proportional to 349,803 and 773,113.50 is: 1,708,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,803 : 773,113.50 = 773,113.50 : x
  2. Step 2: Convert to fraction form
    349,803/773,113.50 = 773,113.50/x
  3. Step 3: Cross multiply
    349,803x = 773,113.50 × 773,113.50
  4. Step 4: Simplify right side
    349,803x = 597,704,483,882.25
  5. Step 5: Solve for x
    x = 597,704,483,882.25/349,803
  6. Step 6: Final answer
    x = 1,708,688.84

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.