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Finding the Third Proportional to 431,364 and 937,246.50

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Solution

The third proportional to 431,364 and 937,246.50 is: 2,036,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364 : 937,246.50 = 937,246.50 : x
  2. Step 2: Convert to fraction form
    431,364/937,246.50 = 937,246.50/x
  3. Step 3: Cross multiply
    431,364x = 937,246.50 × 937,246.50
  4. Step 4: Simplify right side
    431,364x = 878,431,001,762.25
  5. Step 5: Solve for x
    x = 878,431,001,762.25/431,364
  6. Step 6: Final answer
    x = 2,036,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.