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Finding the Third Proportional to 314,629,474.50 and 476,314,931.25

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Solution

The third proportional to 314,629,474.50 and 476,314,931.25 is: 721,089,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,629,474.50 : 476,314,931.25 = 476,314,931.25 : x
  2. Step 2: Convert to fraction form
    314,629,474.50/476,314,931.25 = 476,314,931.25/x
  3. Step 3: Cross multiply
    314,629,474.50x = 476,314,931.25 × 476,314,931.25
  4. Step 4: Simplify right side
    314,629,474.50x = 226,875,913,731,692,224
  5. Step 5: Solve for x
    x = 226,875,913,731,692,224/314,629,474.50
  6. Step 6: Final answer
    x = 721,089,192.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.