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Finding the Third Proportional to 335,358 and 506,189

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Solution

The third proportional to 335,358 and 506,189 is: 764,041.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,358 : 506,189 = 506,189 : x
  2. Step 2: Convert to fraction form
    335,358/506,189 = 506,189/x
  3. Step 3: Cross multiply
    335,358x = 506,189 × 506,189
  4. Step 4: Simplify right side
    335,358x = 256,227,303,721
  5. Step 5: Solve for x
    x = 256,227,303,721/335,358
  6. Step 6: Final answer
    x = 764,041.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.