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Finding the Third Proportional to 369,358 and 795,704

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Solution

The third proportional to 369,358 and 795,704 is: 1,714,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,358 : 795,704 = 795,704 : x
  2. Step 2: Convert to fraction form
    369,358/795,704 = 795,704/x
  3. Step 3: Cross multiply
    369,358x = 795,704 × 795,704
  4. Step 4: Simplify right side
    369,358x = 633,144,855,616
  5. Step 5: Solve for x
    x = 633,144,855,616/369,358
  6. Step 6: Final answer
    x = 1,714,176.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.