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Finding the Third Proportional to 342,825 and 702,354

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Solution

The third proportional to 342,825 and 702,354 is: 1,438,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,825 : 702,354 = 702,354 : x
  2. Step 2: Convert to fraction form
    342,825/702,354 = 702,354/x
  3. Step 3: Cross multiply
    342,825x = 702,354 × 702,354
  4. Step 4: Simplify right side
    342,825x = 493,301,141,316
  5. Step 5: Solve for x
    x = 493,301,141,316/342,825
  6. Step 6: Final answer
    x = 1,438,929.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.