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Finding the Third Proportional to 358,746 and 754,672

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Solution

The third proportional to 358,746 and 754,672 is: 1,587,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,746 : 754,672 = 754,672 : x
  2. Step 2: Convert to fraction form
    358,746/754,672 = 754,672/x
  3. Step 3: Cross multiply
    358,746x = 754,672 × 754,672
  4. Step 4: Simplify right side
    358,746x = 569,529,827,584
  5. Step 5: Solve for x
    x = 569,529,827,584/358,746
  6. Step 6: Final answer
    x = 1,587,557.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.