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Finding the Third Proportional to 349,726 and 749,069

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Solution

The third proportional to 349,726 and 749,069 is: 1,604,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,726 : 749,069 = 749,069 : x
  2. Step 2: Convert to fraction form
    349,726/749,069 = 749,069/x
  3. Step 3: Cross multiply
    349,726x = 749,069 × 749,069
  4. Step 4: Simplify right side
    349,726x = 561,104,366,761
  5. Step 5: Solve for x
    x = 561,104,366,761/349,726
  6. Step 6: Final answer
    x = 1,604,411.36

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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.