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Finding the Third Proportional to 352,769,301 and 548,438,370

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Solution

The third proportional to 352,769,301 and 548,438,370 is: 852,638,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,769,301 : 548,438,370 = 548,438,370 : x
  2. Step 2: Convert to fraction form
    352,769,301/548,438,370 = 548,438,370/x
  3. Step 3: Cross multiply
    352,769,301x = 548,438,370 × 548,438,370
  4. Step 4: Simplify right side
    352,769,301x = 300,784,645,688,256,896
  5. Step 5: Solve for x
    x = 300,784,645,688,256,896/352,769,301
  6. Step 6: Final answer
    x = 852,638,381.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.