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Finding the Third Proportional to 298,413 and 610,614

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Solution

The third proportional to 298,413 and 610,614 is: 1,249,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,413 : 610,614 = 610,614 : x
  2. Step 2: Convert to fraction form
    298,413/610,614 = 610,614/x
  3. Step 3: Cross multiply
    298,413x = 610,614 × 610,614
  4. Step 4: Simplify right side
    298,413x = 372,849,456,996
  5. Step 5: Solve for x
    x = 372,849,456,996/298,413
  6. Step 6: Final answer
    x = 1,249,441.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.