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Finding the Third Proportional to 370,548 and 798,696

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Solution

The third proportional to 370,548 and 798,696 is: 1,721,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,548 : 798,696 = 798,696 : x
  2. Step 2: Convert to fraction form
    370,548/798,696 = 798,696/x
  3. Step 3: Cross multiply
    370,548x = 798,696 × 798,696
  4. Step 4: Simplify right side
    370,548x = 637,915,300,416
  5. Step 5: Solve for x
    x = 637,915,300,416/370,548
  6. Step 6: Final answer
    x = 1,721,545.66

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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.