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Finding the Third Proportional to 464,310 and 700,191

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Solution

The third proportional to 464,310 and 700,191 is: 1,055,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,310 : 700,191 = 700,191 : x
  2. Step 2: Convert to fraction form
    464,310/700,191 = 700,191/x
  3. Step 3: Cross multiply
    464,310x = 700,191 × 700,191
  4. Step 4: Simplify right side
    464,310x = 490,267,436,481
  5. Step 5: Solve for x
    x = 490,267,436,481/464,310
  6. Step 6: Final answer
    x = 1,055,905.40

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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.