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Finding the Third Proportional to 290,546 and 626,960

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Solution

The third proportional to 290,546 and 626,960 is: 1,352,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,546 : 626,960 = 626,960 : x
  2. Step 2: Convert to fraction form
    290,546/626,960 = 626,960/x
  3. Step 3: Cross multiply
    290,546x = 626,960 × 626,960
  4. Step 4: Simplify right side
    290,546x = 393,078,841,600
  5. Step 5: Solve for x
    x = 393,078,841,600/290,546
  6. Step 6: Final answer
    x = 1,352,897.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.