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Finding the Third Proportional to 349,058 and 753,028

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Solution

The third proportional to 349,058 and 753,028 is: 1,624,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,058 : 753,028 = 753,028 : x
  2. Step 2: Convert to fraction form
    349,058/753,028 = 753,028/x
  3. Step 3: Cross multiply
    349,058x = 753,028 × 753,028
  4. Step 4: Simplify right side
    349,058x = 567,051,168,784
  5. Step 5: Solve for x
    x = 567,051,168,784/349,058
  6. Step 6: Final answer
    x = 1,624,518.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.