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Finding the Third Proportional to 480,915 and 750,485.25

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Solution

The third proportional to 480,915 and 750,485.25 is: 1,171,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,915 : 750,485.25 = 750,485.25 : x
  2. Step 2: Convert to fraction form
    480,915/750,485.25 = 750,485.25/x
  3. Step 3: Cross multiply
    480,915x = 750,485.25 × 750,485.25
  4. Step 4: Simplify right side
    480,915x = 563,228,110,467.56
  5. Step 5: Solve for x
    x = 563,228,110,467.56/480,915
  6. Step 6: Final answer
    x = 1,171,159.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.