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Finding the Third Proportional to 295,402 and 644,273

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Solution

The third proportional to 295,402 and 644,273 is: 1,405,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,402 : 644,273 = 644,273 : x
  2. Step 2: Convert to fraction form
    295,402/644,273 = 644,273/x
  3. Step 3: Cross multiply
    295,402x = 644,273 × 644,273
  4. Step 4: Simplify right side
    295,402x = 415,087,698,529
  5. Step 5: Solve for x
    x = 415,087,698,529/295,402
  6. Step 6: Final answer
    x = 1,405,162.11

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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.