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Finding the Third Proportional to 431,201 and 907,088

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Solution

The third proportional to 431,201 and 907,088 is: 1,908,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,201 : 907,088 = 907,088 : x
  2. Step 2: Convert to fraction form
    431,201/907,088 = 907,088/x
  3. Step 3: Cross multiply
    431,201x = 907,088 × 907,088
  4. Step 4: Simplify right side
    431,201x = 822,808,639,744
  5. Step 5: Solve for x
    x = 822,808,639,744/431,201
  6. Step 6: Final answer
    x = 1,908,178.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.