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Finding the Third Proportional to 710,624 and 1,093,382.50

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Solution

The third proportional to 710,624 and 1,093,382.50 is: 1,682,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,624 : 1,093,382.50 = 1,093,382.50 : x
  2. Step 2: Convert to fraction form
    710,624/1,093,382.50 = 1,093,382.50/x
  3. Step 3: Cross multiply
    710,624x = 1,093,382.50 × 1,093,382.50
  4. Step 4: Simplify right side
    710,624x = 1,195,485,291,306.25
  5. Step 5: Solve for x
    x = 1,195,485,291,306.25/710,624
  6. Step 6: Final answer
    x = 1,682,303.57

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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.