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Finding the Third Proportional to 413,332 and 585,026

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Solution

The third proportional to 413,332 and 585,026 is: 828,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,332 : 585,026 = 585,026 : x
  2. Step 2: Convert to fraction form
    413,332/585,026 = 585,026/x
  3. Step 3: Cross multiply
    413,332x = 585,026 × 585,026
  4. Step 4: Simplify right side
    413,332x = 342,255,420,676
  5. Step 5: Solve for x
    x = 342,255,420,676/413,332
  6. Step 6: Final answer
    x = 828,039.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.