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Finding the Third Proportional to 299,787 and 648,498

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Solution

The third proportional to 299,787 and 648,498 is: 1,402,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,787 : 648,498 = 648,498 : x
  2. Step 2: Convert to fraction form
    299,787/648,498 = 648,498/x
  3. Step 3: Cross multiply
    299,787x = 648,498 × 648,498
  4. Step 4: Simplify right side
    299,787x = 420,549,656,004
  5. Step 5: Solve for x
    x = 420,549,656,004/299,787
  6. Step 6: Final answer
    x = 1,402,828.19

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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.