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Finding the Third Proportional to 350,298 and 554,769

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Solution

The third proportional to 350,298 and 554,769 is: 878,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,298 : 554,769 = 554,769 : x
  2. Step 2: Convert to fraction form
    350,298/554,769 = 554,769/x
  3. Step 3: Cross multiply
    350,298x = 554,769 × 554,769
  4. Step 4: Simplify right side
    350,298x = 307,768,643,361
  5. Step 5: Solve for x
    x = 307,768,643,361/350,298
  6. Step 6: Final answer
    x = 878,590.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.