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Finding the Third Proportional to 333,506 and 731,828

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Solution

The third proportional to 333,506 and 731,828 is: 1,605,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,506 : 731,828 = 731,828 : x
  2. Step 2: Convert to fraction form
    333,506/731,828 = 731,828/x
  3. Step 3: Cross multiply
    333,506x = 731,828 × 731,828
  4. Step 4: Simplify right side
    333,506x = 535,572,221,584
  5. Step 5: Solve for x
    x = 535,572,221,584/333,506
  6. Step 6: Final answer
    x = 1,605,884.82

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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.