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Finding the Third Proportional to 357,644 and 744,664

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Solution

The third proportional to 357,644 and 744,664 is: 1,550,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,644 : 744,664 = 744,664 : x
  2. Step 2: Convert to fraction form
    357,644/744,664 = 744,664/x
  3. Step 3: Cross multiply
    357,644x = 744,664 × 744,664
  4. Step 4: Simplify right side
    357,644x = 554,524,472,896
  5. Step 5: Solve for x
    x = 554,524,472,896/357,644
  6. Step 6: Final answer
    x = 1,550,492.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.