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Finding the Third Proportional to 245,595 and 534,915

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Solution

The third proportional to 245,595 and 534,915 is: 1,165,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,595 : 534,915 = 534,915 : x
  2. Step 2: Convert to fraction form
    245,595/534,915 = 534,915/x
  3. Step 3: Cross multiply
    245,595x = 534,915 × 534,915
  4. Step 4: Simplify right side
    245,595x = 286,134,057,225
  5. Step 5: Solve for x
    x = 286,134,057,225/245,595
  6. Step 6: Final answer
    x = 1,165,064.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.