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Finding the Third Proportional to 364,498 and 788,900

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Solution

The third proportional to 364,498 and 788,900 is: 1,707,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,498 : 788,900 = 788,900 : x
  2. Step 2: Convert to fraction form
    364,498/788,900 = 788,900/x
  3. Step 3: Cross multiply
    364,498x = 788,900 × 788,900
  4. Step 4: Simplify right side
    364,498x = 622,363,210,000
  5. Step 5: Solve for x
    x = 622,363,210,000/364,498
  6. Step 6: Final answer
    x = 1,707,453.02

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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.