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Finding the Third Proportional to 367,248 and 778,592

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Solution

The third proportional to 367,248 and 778,592 is: 1,650,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,248 : 778,592 = 778,592 : x
  2. Step 2: Convert to fraction form
    367,248/778,592 = 778,592/x
  3. Step 3: Cross multiply
    367,248x = 778,592 × 778,592
  4. Step 4: Simplify right side
    367,248x = 606,205,502,464
  5. Step 5: Solve for x
    x = 606,205,502,464/367,248
  6. Step 6: Final answer
    x = 1,650,670.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.