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Finding the Third Proportional to 359,007 and 729,786

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Solution

The third proportional to 359,007 and 729,786 is: 1,483,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,007 : 729,786 = 729,786 : x
  2. Step 2: Convert to fraction form
    359,007/729,786 = 729,786/x
  3. Step 3: Cross multiply
    359,007x = 729,786 × 729,786
  4. Step 4: Simplify right side
    359,007x = 532,587,605,796
  5. Step 5: Solve for x
    x = 532,587,605,796/359,007
  6. Step 6: Final answer
    x = 1,483,502.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.