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Finding the Third Proportional to 234,699 and 506,813

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Solution

The third proportional to 234,699 and 506,813 is: 1,094,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,699 : 506,813 = 506,813 : x
  2. Step 2: Convert to fraction form
    234,699/506,813 = 506,813/x
  3. Step 3: Cross multiply
    234,699x = 506,813 × 506,813
  4. Step 4: Simplify right side
    234,699x = 256,859,416,969
  5. Step 5: Solve for x
    x = 256,859,416,969/234,699
  6. Step 6: Final answer
    x = 1,094,420.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.