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Finding the Third Proportional to 413,303 and 876,205

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Solution

The third proportional to 413,303 and 876,205 is: 1,857,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,303 : 876,205 = 876,205 : x
  2. Step 2: Convert to fraction form
    413,303/876,205 = 876,205/x
  3. Step 3: Cross multiply
    413,303x = 876,205 × 876,205
  4. Step 4: Simplify right side
    413,303x = 767,735,202,025
  5. Step 5: Solve for x
    x = 767,735,202,025/413,303
  6. Step 6: Final answer
    x = 1,857,560.20

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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.