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Finding the Third Proportional to 450,288 and 713,008

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Solution

The third proportional to 450,288 and 713,008 is: 1,129,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,288 : 713,008 = 713,008 : x
  2. Step 2: Convert to fraction form
    450,288/713,008 = 713,008/x
  3. Step 3: Cross multiply
    450,288x = 713,008 × 713,008
  4. Step 4: Simplify right side
    450,288x = 508,380,408,064
  5. Step 5: Solve for x
    x = 508,380,408,064/450,288
  6. Step 6: Final answer
    x = 1,129,011.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.