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Finding the Third Proportional to 290,792 and 626,128

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Solution

The third proportional to 290,792 and 626,128 is: 1,348,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,792 : 626,128 = 626,128 : x
  2. Step 2: Convert to fraction form
    290,792/626,128 = 626,128/x
  3. Step 3: Cross multiply
    290,792x = 626,128 × 626,128
  4. Step 4: Simplify right side
    290,792x = 392,036,272,384
  5. Step 5: Solve for x
    x = 392,036,272,384/290,792
  6. Step 6: Final answer
    x = 1,348,167.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.