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Finding the Third Proportional to 484,704 and 740,178

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Solution

The third proportional to 484,704 and 740,178 is: 1,130,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,704 : 740,178 = 740,178 : x
  2. Step 2: Convert to fraction form
    484,704/740,178 = 740,178/x
  3. Step 3: Cross multiply
    484,704x = 740,178 × 740,178
  4. Step 4: Simplify right side
    484,704x = 547,863,471,684
  5. Step 5: Solve for x
    x = 547,863,471,684/484,704
  6. Step 6: Final answer
    x = 1,130,305.24

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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.