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Finding the Third Proportional to 305,667,528 and 671,384,313

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Solution

The third proportional to 305,667,528 and 671,384,313 is: 1,474,663,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,667,528 : 671,384,313 = 671,384,313 : x
  2. Step 2: Convert to fraction form
    305,667,528/671,384,313 = 671,384,313/x
  3. Step 3: Cross multiply
    305,667,528x = 671,384,313 × 671,384,313
  4. Step 4: Simplify right side
    305,667,528x = 450,756,895,742,481,984
  5. Step 5: Solve for x
    x = 450,756,895,742,481,984/305,667,528
  6. Step 6: Final answer
    x = 1,474,663,987.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.