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Finding the Third Proportional to 349,254 and 744,300

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Solution

The third proportional to 349,254 and 744,300 is: 1,586,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,254 : 744,300 = 744,300 : x
  2. Step 2: Convert to fraction form
    349,254/744,300 = 744,300/x
  3. Step 3: Cross multiply
    349,254x = 744,300 × 744,300
  4. Step 4: Simplify right side
    349,254x = 553,982,490,000
  5. Step 5: Solve for x
    x = 553,982,490,000/349,254
  6. Step 6: Final answer
    x = 1,586,187.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.