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Finding the Third Proportional to 335,386 and 709,508

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Solution

The third proportional to 335,386 and 709,508 is: 1,500,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,386 : 709,508 = 709,508 : x
  2. Step 2: Convert to fraction form
    335,386/709,508 = 709,508/x
  3. Step 3: Cross multiply
    335,386x = 709,508 × 709,508
  4. Step 4: Simplify right side
    335,386x = 503,401,602,064
  5. Step 5: Solve for x
    x = 503,401,602,064/335,386
  6. Step 6: Final answer
    x = 1,500,961.88

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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.