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Finding the Third Proportional to 292,698 and 441,354

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Solution

The third proportional to 292,698 and 441,354 is: 665,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,698 : 441,354 = 441,354 : x
  2. Step 2: Convert to fraction form
    292,698/441,354 = 441,354/x
  3. Step 3: Cross multiply
    292,698x = 441,354 × 441,354
  4. Step 4: Simplify right side
    292,698x = 194,793,353,316
  5. Step 5: Solve for x
    x = 194,793,353,316/292,698
  6. Step 6: Final answer
    x = 665,509.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.