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Finding the Third Proportional to 333,583 and 729,464

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Solution

The third proportional to 333,583 and 729,464 is: 1,595,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,583 : 729,464 = 729,464 : x
  2. Step 2: Convert to fraction form
    333,583/729,464 = 729,464/x
  3. Step 3: Cross multiply
    333,583x = 729,464 × 729,464
  4. Step 4: Simplify right side
    333,583x = 532,117,727,296
  5. Step 5: Solve for x
    x = 532,117,727,296/333,583
  6. Step 6: Final answer
    x = 1,595,158.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.