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Finding the Third Proportional to 709,357.50 and 1,090,341

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Solution

The third proportional to 709,357.50 and 1,090,341 is: 1,675,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,357.50 : 1,090,341 = 1,090,341 : x
  2. Step 2: Convert to fraction form
    709,357.50/1,090,341 = 1,090,341/x
  3. Step 3: Cross multiply
    709,357.50x = 1,090,341 × 1,090,341
  4. Step 4: Simplify right side
    709,357.50x = 1,188,843,496,281
  5. Step 5: Solve for x
    x = 1,188,843,496,281/709,357.50
  6. Step 6: Final answer
    x = 1,675,944.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.