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Finding the Third Proportional to 691,378.50 and 1,046,727

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Solution

The third proportional to 691,378.50 and 1,046,727 is: 1,584,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,378.50 : 1,046,727 = 1,046,727 : x
  2. Step 2: Convert to fraction form
    691,378.50/1,046,727 = 1,046,727/x
  3. Step 3: Cross multiply
    691,378.50x = 1,046,727 × 1,046,727
  4. Step 4: Simplify right side
    691,378.50x = 1,095,637,412,529
  5. Step 5: Solve for x
    x = 1,095,637,412,529/691,378.50
  6. Step 6: Final answer
    x = 1,584,714.32

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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.