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Finding the Third Proportional to 295,596 and 626,481

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Solution

The third proportional to 295,596 and 626,481 is: 1,327,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,596 : 626,481 = 626,481 : x
  2. Step 2: Convert to fraction form
    295,596/626,481 = 626,481/x
  3. Step 3: Cross multiply
    295,596x = 626,481 × 626,481
  4. Step 4: Simplify right side
    295,596x = 392,478,443,361
  5. Step 5: Solve for x
    x = 392,478,443,361/295,596
  6. Step 6: Final answer
    x = 1,327,752.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.