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Finding the Third Proportional to 369,609 and 791,706

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Solution

The third proportional to 369,609 and 791,706 is: 1,695,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,609 : 791,706 = 791,706 : x
  2. Step 2: Convert to fraction form
    369,609/791,706 = 791,706/x
  3. Step 3: Cross multiply
    369,609x = 791,706 × 791,706
  4. Step 4: Simplify right side
    369,609x = 626,798,390,436
  5. Step 5: Solve for x
    x = 626,798,390,436/369,609
  6. Step 6: Final answer
    x = 1,695,841.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.