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Finding the Third Proportional to 290,655 and 625,833

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Solution

The third proportional to 290,655 and 625,833 is: 1,347,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,655 : 625,833 = 625,833 : x
  2. Step 2: Convert to fraction form
    290,655/625,833 = 625,833/x
  3. Step 3: Cross multiply
    290,655x = 625,833 × 625,833
  4. Step 4: Simplify right side
    290,655x = 391,666,943,889
  5. Step 5: Solve for x
    x = 391,666,943,889/290,655
  6. Step 6: Final answer
    x = 1,347,532.10

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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.