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Finding the Third Proportional to 476,282 and 736,819

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Solution

The third proportional to 476,282 and 736,819 is: 1,139,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,282 : 736,819 = 736,819 : x
  2. Step 2: Convert to fraction form
    476,282/736,819 = 736,819/x
  3. Step 3: Cross multiply
    476,282x = 736,819 × 736,819
  4. Step 4: Simplify right side
    476,282x = 542,902,238,761
  5. Step 5: Solve for x
    x = 542,902,238,761/476,282
  6. Step 6: Final answer
    x = 1,139,875.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.