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Finding the Third Proportional to 328,229,415 and 519,742,966.50

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Solution

The third proportional to 328,229,415 and 519,742,966.50 is: 822,999,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,229,415 : 519,742,966.50 = 519,742,966.50 : x
  2. Step 2: Convert to fraction form
    328,229,415/519,742,966.50 = 519,742,966.50/x
  3. Step 3: Cross multiply
    328,229,415x = 519,742,966.50 × 519,742,966.50
  4. Step 4: Simplify right side
    328,229,415x = 270,132,751,226,220,128
  5. Step 5: Solve for x
    x = 270,132,751,226,220,128/328,229,415
  6. Step 6: Final answer
    x = 822,999,825.37

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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.