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Finding the Third Proportional to 562,186.13 and 863,587.13

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Solution

The third proportional to 562,186.13 and 863,587.13 is: 1,326,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,186.13 : 863,587.13 = 863,587.13 : x
  2. Step 2: Convert to fraction form
    562,186.13/863,587.13 = 863,587.13/x
  3. Step 3: Cross multiply
    562,186.13x = 863,587.13 × 863,587.13
  4. Step 4: Simplify right side
    562,186.13x = 745,782,722,465.77
  5. Step 5: Solve for x
    x = 745,782,722,465.77/562,186.13
  6. Step 6: Final answer
    x = 1,326,576.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.