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Finding the Third Proportional to 299,511 and 651,499.88

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Solution

The third proportional to 299,511 and 651,499.88 is: 1,417,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,511 : 651,499.88 = 651,499.88 : x
  2. Step 2: Convert to fraction form
    299,511/651,499.88 = 651,499.88/x
  3. Step 3: Cross multiply
    299,511x = 651,499.88 × 651,499.88
  4. Step 4: Simplify right side
    299,511x = 424,452,087,125.02
  5. Step 5: Solve for x
    x = 424,452,087,125.02/299,511
  6. Step 6: Final answer
    x = 1,417,150.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.