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Finding the Third Proportional to 295,447 and 626,341

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Solution

The third proportional to 295,447 and 626,341 is: 1,327,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,447 : 626,341 = 626,341 : x
  2. Step 2: Convert to fraction form
    295,447/626,341 = 626,341/x
  3. Step 3: Cross multiply
    295,447x = 626,341 × 626,341
  4. Step 4: Simplify right side
    295,447x = 392,303,048,281
  5. Step 5: Solve for x
    x = 392,303,048,281/295,447
  6. Step 6: Final answer
    x = 1,327,828.84

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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.