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Finding the Third Proportional to 366,158 and 791,537

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Solution

The third proportional to 366,158 and 791,537 is: 1,711,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,158 : 791,537 = 791,537 : x
  2. Step 2: Convert to fraction form
    366,158/791,537 = 791,537/x
  3. Step 3: Cross multiply
    366,158x = 791,537 × 791,537
  4. Step 4: Simplify right side
    366,158x = 626,530,822,369
  5. Step 5: Solve for x
    x = 626,530,822,369/366,158
  6. Step 6: Final answer
    x = 1,711,094.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.