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Finding the Third Proportional to 315,704 and 476,820

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Solution

The third proportional to 315,704 and 476,820 is: 720,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,704 : 476,820 = 476,820 : x
  2. Step 2: Convert to fraction form
    315,704/476,820 = 476,820/x
  3. Step 3: Cross multiply
    315,704x = 476,820 × 476,820
  4. Step 4: Simplify right side
    315,704x = 227,357,312,400
  5. Step 5: Solve for x
    x = 227,357,312,400/315,704
  6. Step 6: Final answer
    x = 720,159.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.