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Finding the Third Proportional to 701,545.50 and 1,026,074.25

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Solution

The third proportional to 701,545.50 and 1,026,074.25 is: 1,500,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,545.50 : 1,026,074.25 = 1,026,074.25 : x
  2. Step 2: Convert to fraction form
    701,545.50/1,026,074.25 = 1,026,074.25/x
  3. Step 3: Cross multiply
    701,545.50x = 1,026,074.25 × 1,026,074.25
  4. Step 4: Simplify right side
    701,545.50x = 1,052,828,366,513.06
  5. Step 5: Solve for x
    x = 1,052,828,366,513.06/701,545.50
  6. Step 6: Final answer
    x = 1,500,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.