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Finding the Third Proportional to 480,471 and 736,995

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Solution

The third proportional to 480,471 and 736,995 is: 1,130,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,471 : 736,995 = 736,995 : x
  2. Step 2: Convert to fraction form
    480,471/736,995 = 736,995/x
  3. Step 3: Cross multiply
    480,471x = 736,995 × 736,995
  4. Step 4: Simplify right side
    480,471x = 543,161,630,025
  5. Step 5: Solve for x
    x = 543,161,630,025/480,471
  6. Step 6: Final answer
    x = 1,130,477.45

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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.