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Finding the Third Proportional to 314,784.75 and 674,484

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Solution

The third proportional to 314,784.75 and 674,484 is: 1,445,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,784.75 : 674,484 = 674,484 : x
  2. Step 2: Convert to fraction form
    314,784.75/674,484 = 674,484/x
  3. Step 3: Cross multiply
    314,784.75x = 674,484 × 674,484
  4. Step 4: Simplify right side
    314,784.75x = 454,928,666,256
  5. Step 5: Solve for x
    x = 454,928,666,256/314,784.75
  6. Step 6: Final answer
    x = 1,445,205.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.