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Finding the Third Proportional to 370,552 and 754,196

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Solution

The third proportional to 370,552 and 754,196 is: 1,535,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,552 : 754,196 = 754,196 : x
  2. Step 2: Convert to fraction form
    370,552/754,196 = 754,196/x
  3. Step 3: Cross multiply
    370,552x = 754,196 × 754,196
  4. Step 4: Simplify right side
    370,552x = 568,811,606,416
  5. Step 5: Solve for x
    x = 568,811,606,416/370,552
  6. Step 6: Final answer
    x = 1,535,038.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.