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Finding the Third Proportional to 307,044 and 473,679

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Solution

The third proportional to 307,044 and 473,679 is: 730,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,044 : 473,679 = 473,679 : x
  2. Step 2: Convert to fraction form
    307,044/473,679 = 473,679/x
  3. Step 3: Cross multiply
    307,044x = 473,679 × 473,679
  4. Step 4: Simplify right side
    307,044x = 224,371,795,041
  5. Step 5: Solve for x
    x = 224,371,795,041/307,044
  6. Step 6: Final answer
    x = 730,748.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.