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Finding the Third Proportional to 328,229,421 and 519,742,976

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Solution

The third proportional to 328,229,421 and 519,742,976 is: 822,999,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,421 : 519,742,976 = 519,742,976 : x
  2. Step 2: Convert to fraction form
    328,229,421/519,742,976 = 519,742,976/x
  3. Step 3: Cross multiply
    328,229,421x = 519,742,976 × 519,742,976
  4. Step 4: Simplify right side
    328,229,421x = 270,132,761,101,336,576
  5. Step 5: Solve for x
    x = 270,132,761,101,336,576/328,229,421
  6. Step 6: Final answer
    x = 822,999,840.41

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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.