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Finding the Third Proportional to 328,229,419 and 519,742,973

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Solution

The third proportional to 328,229,419 and 519,742,973 is: 822,999,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,419 : 519,742,973 = 519,742,973 : x
  2. Step 2: Convert to fraction form
    328,229,419/519,742,973 = 519,742,973/x
  3. Step 3: Cross multiply
    328,229,419x = 519,742,973 × 519,742,973
  4. Step 4: Simplify right side
    328,229,419x = 270,132,757,982,878,720
  5. Step 5: Solve for x
    x = 270,132,757,982,878,720/328,229,419
  6. Step 6: Final answer
    x = 822,999,835.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.