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Finding the Third Proportional to 295,614 and 648,454

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Solution

The third proportional to 295,614 and 648,454 is: 1,422,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,614 : 648,454 = 648,454 : x
  2. Step 2: Convert to fraction form
    295,614/648,454 = 648,454/x
  3. Step 3: Cross multiply
    295,614x = 648,454 × 648,454
  4. Step 4: Simplify right side
    295,614x = 420,492,590,116
  5. Step 5: Solve for x
    x = 420,492,590,116/295,614
  6. Step 6: Final answer
    x = 1,422,438.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.