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Finding the Third Proportional to 365,557 and 801,730

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Solution

The third proportional to 365,557 and 801,730 is: 1,758,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,557 : 801,730 = 801,730 : x
  2. Step 2: Convert to fraction form
    365,557/801,730 = 801,730/x
  3. Step 3: Cross multiply
    365,557x = 801,730 × 801,730
  4. Step 4: Simplify right side
    365,557x = 642,770,992,900
  5. Step 5: Solve for x
    x = 642,770,992,900/365,557
  6. Step 6: Final answer
    x = 1,758,333.15

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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.