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Finding the Third Proportional to 433,275.75 and 935,056.69

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Solution

The third proportional to 433,275.75 and 935,056.69 is: 2,017,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,275.75 : 935,056.69 = 935,056.69 : x
  2. Step 2: Convert to fraction form
    433,275.75/935,056.69 = 935,056.69/x
  3. Step 3: Cross multiply
    433,275.75x = 935,056.69 × 935,056.69
  4. Step 4: Simplify right side
    433,275.75x = 874,331,008,838.47
  5. Step 5: Solve for x
    x = 874,331,008,838.47/433,275.75
  6. Step 6: Final answer
    x = 2,017,955.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.