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Finding the Third Proportional to 295,440 and 626,328

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Solution

The third proportional to 295,440 and 626,328 is: 1,327,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,440 : 626,328 = 626,328 : x
  2. Step 2: Convert to fraction form
    295,440/626,328 = 626,328/x
  3. Step 3: Cross multiply
    295,440x = 626,328 × 626,328
  4. Step 4: Simplify right side
    295,440x = 392,286,763,584
  5. Step 5: Solve for x
    x = 392,286,763,584/295,440
  6. Step 6: Final answer
    x = 1,327,805.18

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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.