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Finding the Third Proportional to 698,355 and 1,496,329.50

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Solution

The third proportional to 698,355 and 1,496,329.50 is: 3,206,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,355 : 1,496,329.50 = 1,496,329.50 : x
  2. Step 2: Convert to fraction form
    698,355/1,496,329.50 = 1,496,329.50/x
  3. Step 3: Cross multiply
    698,355x = 1,496,329.50 × 1,496,329.50
  4. Step 4: Simplify right side
    698,355x = 2,239,001,972,570.25
  5. Step 5: Solve for x
    x = 2,239,001,972,570.25/698,355
  6. Step 6: Final answer
    x = 3,206,108.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.