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Finding the Third Proportional to 480,900 and 750,464.63

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Solution

The third proportional to 480,900 and 750,464.63 is: 1,171,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,900 : 750,464.63 = 750,464.63 : x
  2. Step 2: Convert to fraction form
    480,900/750,464.63 = 750,464.63/x
  3. Step 3: Cross multiply
    480,900x = 750,464.63 × 750,464.63
  4. Step 4: Simplify right side
    480,900x = 563,197,153,376.39
  5. Step 5: Solve for x
    x = 563,197,153,376.39/480,900
  6. Step 6: Final answer
    x = 1,171,131.53

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