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Finding the Third Proportional to 307,144,935 and 434,600,615.25

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Solution

The third proportional to 307,144,935 and 434,600,615.25 is: 614,946,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,144,935 : 434,600,615.25 = 434,600,615.25 : x
  2. Step 2: Convert to fraction form
    307,144,935/434,600,615.25 = 434,600,615.25/x
  3. Step 3: Cross multiply
    307,144,935x = 434,600,615.25 × 434,600,615.25
  4. Step 4: Simplify right side
    307,144,935x = 188,877,694,775,678,528
  5. Step 5: Solve for x
    x = 188,877,694,775,678,528/307,144,935
  6. Step 6: Final answer
    x = 614,946,473.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.