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Finding the Third Proportional to 370,416 and 571,014

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Solution

The third proportional to 370,416 and 571,014 is: 880,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,416 : 571,014 = 571,014 : x
  2. Step 2: Convert to fraction form
    370,416/571,014 = 571,014/x
  3. Step 3: Cross multiply
    370,416x = 571,014 × 571,014
  4. Step 4: Simplify right side
    370,416x = 326,056,988,196
  5. Step 5: Solve for x
    x = 326,056,988,196/370,416
  6. Step 6: Final answer
    x = 880,245.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.