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Finding the Third Proportional to 363,802 and 745,640

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Solution

The third proportional to 363,802 and 745,640 is: 1,528,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,802 : 745,640 = 745,640 : x
  2. Step 2: Convert to fraction form
    363,802/745,640 = 745,640/x
  3. Step 3: Cross multiply
    363,802x = 745,640 × 745,640
  4. Step 4: Simplify right side
    363,802x = 555,979,009,600
  5. Step 5: Solve for x
    x = 555,979,009,600/363,802
  6. Step 6: Final answer
    x = 1,528,246.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.