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Finding the Third Proportional to 403,513 and 848,853

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Solution

The third proportional to 403,513 and 848,853 is: 1,785,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,513 : 848,853 = 848,853 : x
  2. Step 2: Convert to fraction form
    403,513/848,853 = 848,853/x
  3. Step 3: Cross multiply
    403,513x = 848,853 × 848,853
  4. Step 4: Simplify right side
    403,513x = 720,551,415,609
  5. Step 5: Solve for x
    x = 720,551,415,609/403,513
  6. Step 6: Final answer
    x = 1,785,695.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.