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Finding the Third Proportional to 431,970 and 608,041.50

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Solution

The third proportional to 431,970 and 608,041.50 is: 855,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,970 : 608,041.50 = 608,041.50 : x
  2. Step 2: Convert to fraction form
    431,970/608,041.50 = 608,041.50/x
  3. Step 3: Cross multiply
    431,970x = 608,041.50 × 608,041.50
  4. Step 4: Simplify right side
    431,970x = 369,714,465,722.25
  5. Step 5: Solve for x
    x = 369,714,465,722.25/431,970
  6. Step 6: Final answer
    x = 855,879.96

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.