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Finding the Third Proportional to 295,432 and 644,333

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Solution

The third proportional to 295,432 and 644,333 is: 1,405,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,432 : 644,333 = 644,333 : x
  2. Step 2: Convert to fraction form
    295,432/644,333 = 644,333/x
  3. Step 3: Cross multiply
    295,432x = 644,333 × 644,333
  4. Step 4: Simplify right side
    295,432x = 415,165,014,889
  5. Step 5: Solve for x
    x = 415,165,014,889/295,432
  6. Step 6: Final answer
    x = 1,405,281.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.