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Finding the Third Proportional to 464,556 and 703,248

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Solution

The third proportional to 464,556 and 703,248 is: 1,064,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,556 : 703,248 = 703,248 : x
  2. Step 2: Convert to fraction form
    464,556/703,248 = 703,248/x
  3. Step 3: Cross multiply
    464,556x = 703,248 × 703,248
  4. Step 4: Simplify right side
    464,556x = 494,557,749,504
  5. Step 5: Solve for x
    x = 494,557,749,504/464,556
  6. Step 6: Final answer
    x = 1,064,581.56

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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.