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Finding the Third Proportional to 359,004 and 729,780

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Solution

The third proportional to 359,004 and 729,780 is: 1,483,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,004 : 729,780 = 729,780 : x
  2. Step 2: Convert to fraction form
    359,004/729,780 = 729,780/x
  3. Step 3: Cross multiply
    359,004x = 729,780 × 729,780
  4. Step 4: Simplify right side
    359,004x = 532,578,848,400
  5. Step 5: Solve for x
    x = 532,578,848,400/359,004
  6. Step 6: Final answer
    x = 1,483,490.01

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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.