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Finding the Third Proportional to 480,362 and 736,824

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Solution

The third proportional to 480,362 and 736,824 is: 1,130,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,362 : 736,824 = 736,824 : x
  2. Step 2: Convert to fraction form
    480,362/736,824 = 736,824/x
  3. Step 3: Cross multiply
    480,362x = 736,824 × 736,824
  4. Step 4: Simplify right side
    480,362x = 542,909,606,976
  5. Step 5: Solve for x
    x = 542,909,606,976/480,362
  6. Step 6: Final answer
    x = 1,130,209.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.