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Finding the Third Proportional to 602,838 and 820,966.50

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Solution

The third proportional to 602,838 and 820,966.50 is: 1,118,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,838 : 820,966.50 = 820,966.50 : x
  2. Step 2: Convert to fraction form
    602,838/820,966.50 = 820,966.50/x
  3. Step 3: Cross multiply
    602,838x = 820,966.50 × 820,966.50
  4. Step 4: Simplify right side
    602,838x = 673,985,994,122.25
  5. Step 5: Solve for x
    x = 673,985,994,122.25/602,838
  6. Step 6: Final answer
    x = 1,118,021.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.