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Finding the Third Proportional to 328,229,392 and 519,742,932

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Solution

The third proportional to 328,229,392 and 519,742,932 is: 822,999,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,392 : 519,742,932 = 519,742,932 : x
  2. Step 2: Convert to fraction form
    328,229,392/519,742,932 = 519,742,932/x
  3. Step 3: Cross multiply
    328,229,392x = 519,742,932 × 519,742,932
  4. Step 4: Simplify right side
    328,229,392x = 270,132,715,363,956,608
  5. Step 5: Solve for x
    x = 270,132,715,363,956,608/328,229,392
  6. Step 6: Final answer
    x = 822,999,773.78

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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.