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Finding the Third Proportional to 349,014 and 553,546

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Solution

The third proportional to 349,014 and 553,546 is: 877,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,014 : 553,546 = 553,546 : x
  2. Step 2: Convert to fraction form
    349,014/553,546 = 553,546/x
  3. Step 3: Cross multiply
    349,014x = 553,546 × 553,546
  4. Step 4: Simplify right side
    349,014x = 306,413,174,116
  5. Step 5: Solve for x
    x = 306,413,174,116/349,014
  6. Step 6: Final answer
    x = 877,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.