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Finding the Third Proportional to 374,694.75 and 571,428

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Solution

The third proportional to 374,694.75 and 571,428 is: 871,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,694.75 : 571,428 = 571,428 : x
  2. Step 2: Convert to fraction form
    374,694.75/571,428 = 571,428/x
  3. Step 3: Cross multiply
    374,694.75x = 571,428 × 571,428
  4. Step 4: Simplify right side
    374,694.75x = 326,529,959,184
  5. Step 5: Solve for x
    x = 326,529,959,184/374,694.75
  6. Step 6: Final answer
    x = 871,455.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.