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Finding the Third Proportional to 287,498,174 and 469,408,953

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Solution

The third proportional to 287,498,174 and 469,408,953 is: 766,421,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,498,174 : 469,408,953 = 469,408,953 : x
  2. Step 2: Convert to fraction form
    287,498,174/469,408,953 = 469,408,953/x
  3. Step 3: Cross multiply
    287,498,174x = 469,408,953 × 469,408,953
  4. Step 4: Simplify right side
    287,498,174x = 220,344,765,156,556,224
  5. Step 5: Solve for x
    x = 220,344,765,156,556,224/287,498,174
  6. Step 6: Final answer
    x = 766,421,442.23

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.