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Finding the Third Proportional to 328,380,120 and 713,918,220

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Solution

The third proportional to 328,380,120 and 713,918,220 is: 1,552,101,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,380,120 : 713,918,220 = 713,918,220 : x
  2. Step 2: Convert to fraction form
    328,380,120/713,918,220 = 713,918,220/x
  3. Step 3: Cross multiply
    328,380,120x = 713,918,220 × 713,918,220
  4. Step 4: Simplify right side
    328,380,120x = 509,679,224,847,968,384
  5. Step 5: Solve for x
    x = 509,679,224,847,968,384/328,380,120
  6. Step 6: Final answer
    x = 1,552,101,341.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.