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Finding the Third Proportional to 476,202 and 719,169

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Solution

The third proportional to 476,202 and 719,169 is: 1,086,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,202 : 719,169 = 719,169 : x
  2. Step 2: Convert to fraction form
    476,202/719,169 = 719,169/x
  3. Step 3: Cross multiply
    476,202x = 719,169 × 719,169
  4. Step 4: Simplify right side
    476,202x = 517,204,050,561
  5. Step 5: Solve for x
    x = 517,204,050,561/476,202
  6. Step 6: Final answer
    x = 1,086,102.22

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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.