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Finding the Third Proportional to 349,747 and 540,077

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Solution

The third proportional to 349,747 and 540,077 is: 833,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,747 : 540,077 = 540,077 : x
  2. Step 2: Convert to fraction form
    349,747/540,077 = 540,077/x
  3. Step 3: Cross multiply
    349,747x = 540,077 × 540,077
  4. Step 4: Simplify right side
    349,747x = 291,683,165,929
  5. Step 5: Solve for x
    x = 291,683,165,929/349,747
  6. Step 6: Final answer
    x = 833,983.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.