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Finding the Third Proportional to 349,980 and 749,688

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Solution

The third proportional to 349,980 and 749,688 is: 1,605,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,980 : 749,688 = 749,688 : x
  2. Step 2: Convert to fraction form
    349,980/749,688 = 749,688/x
  3. Step 3: Cross multiply
    349,980x = 749,688 × 749,688
  4. Step 4: Simplify right side
    349,980x = 562,032,097,344
  5. Step 5: Solve for x
    x = 562,032,097,344/349,980
  6. Step 6: Final answer
    x = 1,605,897.76

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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.