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Finding the Third Proportional to 464,560 and 703,254

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Solution

The third proportional to 464,560 and 703,254 is: 1,064,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,560 : 703,254 = 703,254 : x
  2. Step 2: Convert to fraction form
    464,560/703,254 = 703,254/x
  3. Step 3: Cross multiply
    464,560x = 703,254 × 703,254
  4. Step 4: Simplify right side
    464,560x = 494,566,188,516
  5. Step 5: Solve for x
    x = 494,566,188,516/464,560
  6. Step 6: Final answer
    x = 1,064,590.56

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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.