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Finding the Third Proportional to 355,597 and 777,583

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Solution

The third proportional to 355,597 and 777,583 is: 1,700,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,597 : 777,583 = 777,583 : x
  2. Step 2: Convert to fraction form
    355,597/777,583 = 777,583/x
  3. Step 3: Cross multiply
    355,597x = 777,583 × 777,583
  4. Step 4: Simplify right side
    355,597x = 604,635,321,889
  5. Step 5: Solve for x
    x = 604,635,321,889/355,597
  6. Step 6: Final answer
    x = 1,700,338.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.