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Finding the Third Proportional to 349,890 and 730,842

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Solution

The third proportional to 349,890 and 730,842 is: 1,526,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,890 : 730,842 = 730,842 : x
  2. Step 2: Convert to fraction form
    349,890/730,842 = 730,842/x
  3. Step 3: Cross multiply
    349,890x = 730,842 × 730,842
  4. Step 4: Simplify right side
    349,890x = 534,130,028,964
  5. Step 5: Solve for x
    x = 534,130,028,964/349,890
  6. Step 6: Final answer
    x = 1,526,565.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.