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Finding the Third Proportional to 346,823,485.50 and 501,100,041.50

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Solution

The third proportional to 346,823,485.50 and 501,100,041.50 is: 724,003,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,823,485.50 : 501,100,041.50 = 501,100,041.50 : x
  2. Step 2: Convert to fraction form
    346,823,485.50/501,100,041.50 = 501,100,041.50/x
  3. Step 3: Cross multiply
    346,823,485.50x = 501,100,041.50 × 501,100,041.50
  4. Step 4: Simplify right side
    346,823,485.50x = 251,101,251,591,301,728
  5. Step 5: Solve for x
    x = 251,101,251,591,301,728/346,823,485.50
  6. Step 6: Final answer
    x = 724,003,021.97

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.