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Finding the Third Proportional to 328,229,417 and 519,742,970

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Solution

The third proportional to 328,229,417 and 519,742,970 is: 822,999,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,417 : 519,742,970 = 519,742,970 : x
  2. Step 2: Convert to fraction form
    328,229,417/519,742,970 = 519,742,970/x
  3. Step 3: Cross multiply
    328,229,417x = 519,742,970 × 519,742,970
  4. Step 4: Simplify right side
    328,229,417x = 270,132,754,864,420,896
  5. Step 5: Solve for x
    x = 270,132,754,864,420,896/328,229,417
  6. Step 6: Final answer
    x = 822,999,831.44

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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.