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Finding the Third Proportional to 324,264,561 and 501,907,047

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Solution

The third proportional to 324,264,561 and 501,907,047 is: 776,867,762.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,264,561 : 501,907,047 = 501,907,047 : x
  2. Step 2: Convert to fraction form
    324,264,561/501,907,047 = 501,907,047/x
  3. Step 3: Cross multiply
    324,264,561x = 501,907,047 × 501,907,047
  4. Step 4: Simplify right side
    324,264,561x = 251,910,683,828,260,224
  5. Step 5: Solve for x
    x = 251,910,683,828,260,224/324,264,561
  6. Step 6: Final answer
    x = 776,867,762.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.