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Finding the Third Proportional to 430,128 and 935,707.50

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Solution

The third proportional to 430,128 and 935,707.50 is: 2,035,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,128 : 935,707.50 = 935,707.50 : x
  2. Step 2: Convert to fraction form
    430,128/935,707.50 = 935,707.50/x
  3. Step 3: Cross multiply
    430,128x = 935,707.50 × 935,707.50
  4. Step 4: Simplify right side
    430,128x = 875,548,525,556.25
  5. Step 5: Solve for x
    x = 875,548,525,556.25/430,128
  6. Step 6: Final answer
    x = 2,035,553.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.