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Finding the Third Proportional to 483,001 and 709,733

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Solution

The third proportional to 483,001 and 709,733 is: 1,042,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,001 : 709,733 = 709,733 : x
  2. Step 2: Convert to fraction form
    483,001/709,733 = 709,733/x
  3. Step 3: Cross multiply
    483,001x = 709,733 × 709,733
  4. Step 4: Simplify right side
    483,001x = 503,720,931,289
  5. Step 5: Solve for x
    x = 503,720,931,289/483,001
  6. Step 6: Final answer
    x = 1,042,898.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.