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Finding the Third Proportional to 349,654 and 749,160

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Solution

The third proportional to 349,654 and 749,160 is: 1,605,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,654 : 749,160 = 749,160 : x
  2. Step 2: Convert to fraction form
    349,654/749,160 = 749,160/x
  3. Step 3: Cross multiply
    349,654x = 749,160 × 749,160
  4. Step 4: Simplify right side
    349,654x = 561,240,705,600
  5. Step 5: Solve for x
    x = 561,240,705,600/349,654
  6. Step 6: Final answer
    x = 1,605,131.66

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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.