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Finding the Third Proportional to 360,743 and 571,196

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Solution

The third proportional to 360,743 and 571,196 is: 904,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,743 : 571,196 = 571,196 : x
  2. Step 2: Convert to fraction form
    360,743/571,196 = 571,196/x
  3. Step 3: Cross multiply
    360,743x = 571,196 × 571,196
  4. Step 4: Simplify right side
    360,743x = 326,264,870,416
  5. Step 5: Solve for x
    x = 326,264,870,416/360,743
  6. Step 6: Final answer
    x = 904,424.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.