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Finding the Third Proportional to 349,998 and 749,724

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Solution

The third proportional to 349,998 and 749,724 is: 1,605,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,998 : 749,724 = 749,724 : x
  2. Step 2: Convert to fraction form
    349,998/749,724 = 749,724/x
  3. Step 3: Cross multiply
    349,998x = 749,724 × 749,724
  4. Step 4: Simplify right side
    349,998x = 562,086,076,176
  5. Step 5: Solve for x
    x = 562,086,076,176/349,998
  6. Step 6: Final answer
    x = 1,605,969.39

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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.