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Finding the Third Proportional to 349,730 and 749,077

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Solution

The third proportional to 349,730 and 749,077 is: 1,604,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,730 : 749,077 = 749,077 : x
  2. Step 2: Convert to fraction form
    349,730/749,077 = 749,077/x
  3. Step 3: Cross multiply
    349,730x = 749,077 × 749,077
  4. Step 4: Simplify right side
    349,730x = 561,116,351,929
  5. Step 5: Solve for x
    x = 561,116,351,929/349,730
  6. Step 6: Final answer
    x = 1,604,427.28

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Why These Related Problems?

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