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Finding the Third Proportional to 360,480 and 743,808

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Solution

The third proportional to 360,480 and 743,808 is: 1,534,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,480 : 743,808 = 743,808 : x
  2. Step 2: Convert to fraction form
    360,480/743,808 = 743,808/x
  3. Step 3: Cross multiply
    360,480x = 743,808 × 743,808
  4. Step 4: Simplify right side
    360,480x = 553,250,340,864
  5. Step 5: Solve for x
    x = 553,250,340,864/360,480
  6. Step 6: Final answer
    x = 1,534,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.