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Finding the Third Proportional to 374,760 and 571,465.13

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Solution

The third proportional to 374,760 and 571,465.13 is: 871,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,760 : 571,465.13 = 571,465.13 : x
  2. Step 2: Convert to fraction form
    374,760/571,465.13 = 571,465.13/x
  3. Step 3: Cross multiply
    374,760x = 571,465.13 × 571,465.13
  4. Step 4: Simplify right side
    374,760x = 326,572,389,091.27
  5. Step 5: Solve for x
    x = 326,572,389,091.27/374,760
  6. Step 6: Final answer
    x = 871,417.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.