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Finding the Third Proportional to 464,994 and 700,911

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Solution

The third proportional to 464,994 and 700,911 is: 1,056,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,994 : 700,911 = 700,911 : x
  2. Step 2: Convert to fraction form
    464,994/700,911 = 700,911/x
  3. Step 3: Cross multiply
    464,994x = 700,911 × 700,911
  4. Step 4: Simplify right side
    464,994x = 491,276,229,921
  5. Step 5: Solve for x
    x = 491,276,229,921/464,994
  6. Step 6: Final answer
    x = 1,056,521.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.